Advanced Sampling Theory with Applications
Advanced Sampling
Theory with Applications
How Michael 'selected' Amy
Volume I
by
Sarjinder Singh
St. Cloud State Universi...
A C.LP. Catalogue record for this book is available from the Library of Congress.
ISBN 978-94-010-3728-0 ISBN 978-94-007-0...
GoO( .I
A _""
Withwhosegrace..'
TABLE OF CONTENTS
PREFACE
1 BASIC CONCEPTS AND MATHEMATICAL
NOTATION
1.0 Introduction
1.1 Population
1.1.1 Finite populati...
VIII Advanced sampling theory with applications
1.25.2 Quantitative random variables II
1.25.2.1 Discrete random variable ...
Table of contents ix
1.50 Sample survey design 33
1.51 Errors in the estimators 33
1.51.1 Sampling errors 34
1.51.2 Non-sa...
x Advanced sampling theory with applications
3 l.JSEOF AUXILIARY INFORMATION: SIMPLE
RANDOM SAMPLING
3.0 Introduction 137
...
Table of contents xi
3.8 Estimation of population mean using more than one auxiliary
variable 229
3.8.1 Multivariate ratio...
xii Advanced sampling theory with applications
5 U SE OF AUXILIARY INFORMATION:
PROBABILITY PROPORTIONAL TO SIZE AND
WITHO...
Table of contents Xlll
5.I I Ordered and unordered estimators 444
5.11.1 Ordered estimators 445
5.11.2 Unordered estimator...
XIV Advanced sampling theory with applications
6 USE OF AUXILIARY INFORMATION:
MULTI-PHASE SAMPLING
6.0 Introduction 529
6...
Table of contents xv
VOLUME II
7 SYSTEMATIC SAMPLING
7.0 Introduction 615
7.1 Systematic sampling 615
7.2 Modified systema...
XVI Advanced sampling theory with applications
8.8 Stratum boundaries for multi-variate populations
8.9 Optimum allocation...
Table of contents xvii
10.8.1 Royall's technique of variance estimation
10.9 Two-stage sampling with successive occasions
...
XVIII Advanced sampling theory with applications
11.10.4 Measure of privacy protection 944
11.10.5 Comparison between addi...
Table of contents XIX
12.13.2.2 Estimation of variance of the calibrated
estimator 1039
Exercises 1041
Practical problems ...
xx Advanced sampling theory with applications
POPULATIONS
All operating banks: Amount (in $000) of agricultural loans
outs...
PREFACE
Advanced Sampling Theory with Applications: How Michael 'Selected' Amy is
a comprehensive exposition of basic and ...
XXII Advanced sampling theory with applications
I have provided a summary of my book from which a statistician can reach a...
Preface XXIII
estimation of regression coefficient, concept of revised selection probabilities,
multi-character surveys sa...
XXIV Advanced sampling theory with applications
EXERCISES ,>,
At the end of each chapter I have provided exercises and the...
Preface xxv
At present I am an Assistant Professor at St. Cloud State University, St. Cloud, MN,
USA, and recently introdu...
XXVI Advanced sampling theory with applications
Jasraj Kaur in Australia during 1996. Almost seven years I worked day and ...
Preface XXVII
The permission of Dimitri Chappas, NOAA/ National Climatic Data Center to print
a few maps is also duly ackn...
1. BASIC CONCEPTS AND MATHEMATICAL NOTATION
1.0 INTRODUCTION
In this chapter we introduce some basic concepts and mathemat...
2 Advanced sampling theory with applications
A subset of the population, which represents the entire population, is called...
Chapter I: Basic concepts and mathematical notation 3
1.7 AUXILIARY VARIABLE
A variable having a direct or indirect relati...
4 Advanced sampling theory with applications
Statistic = /(YI 'YZ'····'Yn)· (1.10.1)
For example, if Yi denotes the total ...
Chapter I: Basic concepts and mathematical notation 5
In general, the total number of samples of size n drawn from a popul...
6 Advanced sampling theory with applications
and Schrage (1983), as given in Table 1 of the Appendix. We generally apply t...
Chapter I: Basic concepts and mathematical notation 7
number 100 to 225 will have probability only equal to 4/999. If we u...
8 Advanced sampling theory with applications
1.15.POPULATION MEAN/TOTAL
Let Yi , j = 1,2,....,N, denote the value
populati...
Chapter I: Basic concepts and mathematical notation 9
Evidently Cy is a unit free number. It is useful to compare the vari...
10 Advanced sampling theory with applications
1.22 ESTIMATOR
A statistic 81 obtained from values in the sample s is also c...
Chapter I: Basic concepts and mathematical notation II
1.25 UNIVARIATE RANDOM VARIABLE
A random variable is a real valued ...
12 Advanced sampling theory with applications
A pictorial representation to differentiate between Qualitative and Quantita...
Chapter I: Basic concepts and mathematical notation 13
(a)f(x)::::O and (b) ff(x)dx=l. (1.27.1)
a
1.28EXPE:~TEJ) VAl;UE.AN...
14 Advanced sampling theory with applications
(i) Ifa ::;X::;b then P(a::;X ::;b)=F(b) -F(a) ;
(ii) Ifa::;b then F(a)::;F(...
Chapter I: Basic concepts and mathematical notation 15
dF(x)
by f(x) = - - . The c.d.f. F(x) IS a non-decreasing function ...
16 Advanced sampling theory with applications
F(x)= Ip(Xi-d+p(x) (say)
i:xi_l<x
(1.30 .1)
Then the integral value of the r...
Chapter 1: Basic concepts and mathematical notation 17
Solution. Since x follows a binomial distribution, so p(X= x)= C;'p...
18 Advanced sampling theory with applications
Example 1.30.3. A continuous random variable X has the cumulative distributi...
Chapter I: Basic concepts and mathematical notation 19
'F(x)u" r. x
0.622 0.403214
0.771 1.141487
0.917 3.747745
0.675 0.6...
(1.33.1)
(I .34.I)
20 Advanced sampling theory with applications
1.32 JOINTPROBABILlTYDISTRIBUTION FUNCTION OF BIVARIATEi ...
Chapte r I: Basic concepts and mathematical notation 21
number table also follow the same distribution. Then to find out t...
22 Advanced sampling theory with applications
1.38 JOINT CUMULATIVE DISTRIBUTION FUNCTION OF A
BIVARIATE CONTINUOUS RANDOM...
(1.40.2)
Chapter I: Basic concepts and math ematical notation 23
*y =y since the distribution of the conditional distribut...
24 Advanced sampling theory with applicat ions
- 3.98 ± ~3.982 +12R1
x= 2 '
and the real root between the range of x as 0 ...
Chapter I: Basic concepts and mathematical notation 25
s~) _
E()lt) = Pt)lt= Y. (1041.2)
1=1
(ii ) Sample variance s; is a...
26 Advanced sampling theory with app lications
Sample Sampled-units ." S ample mean < ' Sample< ' Probability of
No" .'; ....
Chapter I: Basic concepts and mathematical notation 27
S~ir].ple :,SaJTIpled oPnjt>,;w
1; SilmpI~means
,..
,;"Sample,; Pro...
28 Advanced sampling theory with applications
_ 1 N " _ 1 16_ 1 4 0 -
£(y,)=- LY/ = - LY, = - (1+ 1.5+ ....+4)= - = 2.5 = ...
Chapter I: Basic concepts and mathematical notation 29
1.41.4 EFFICIENCY
Before defining the term efficiency, we shall dis...
30 Advanced sampling theory with applications
1.44 VARIANCE ESTIMATION THROUGH SPLITTING
If el, e2,....,e" are independent...
(1.44.3)
Chapter I: Basic concepts and mathematical notation 31
2 1 n ( -)2where sy = - - I Yi - Y .
n -I i=
Thus VJack(Yr...
32 Advanced sampling theory with applications
1.48 SAMPLING DISTRIBUTION
A sampling distribution is a distribution of a st...
Chapter I: Basic concepts and mathematical notation 33
( b ) The relative frequency distribution of the sample variances I...
34 Advanced sampling theory with applications
1.51.1 SAMPLING ERRORS
An error which arises due to sampling is called a sam...
Chapter I: Basic concepts and mathematical notation 35
1.51.2.1 NON-RESPONSE ERRORS
The people from whom we get the inform...
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Sarjinder singh
Upcoming SlideShare
Loading in …5
×