SlideShare a Scribd company logo

Suppose X1Xn are iid random variables with mean EX an.pdf

•
•
A
actionindia2

Suppose X1,,Xn are i.i.d random variables with mean E(X)= and variance VAR(X)=2. Sample variance is defined as Vn=n1i=1n(XiMn)2,1 where Mn is the sample mean. Show that the expected value of Vn is given by: E[Vn]=nn12 Hint: Manipulate Vn into the form: Vn=n1i=1n(Xi)2( Mn)2 Provide an explanation as to why the sample variance is not an unbiased estimator; in other words, why do we have the factor nn1 ?.

Education
1 of 1
Download to read offline
Suppose X1,,Xn are i.i.d random variables with mean E(X)= and variance VAR(X)=2. Sample variance is defined as Vn=n1i=1n(XiMn)2,1 where Mn is the sample mean. Show that the expected value of Vn is given by: E[Vn]=nn12 Hint: Manipulate Vn into the form: Vn=n1i=1n(Xi)2( Mn)2 Provide an explanation as to why the sample variance is not an unbiased estimator; in other words, why do we have the factor nn1 ?

Recommended

Suppose you have the folowing class defintion for the object.pdf
Suppose you have the folowing class defintion for the object.pdfSuppose you have the folowing class defintion for the object.pdf
Suppose you have the folowing class defintion for the object.pdfactionindia2
 
Suppose you take two different samples of size 9 and 16 from.pdf
Suppose you take two different samples of size 9 and 16 from.pdfSuppose you take two different samples of size 9 and 16 from.pdf
Suppose you take two different samples of size 9 and 16 from.pdfactionindia2
 
Suppose you make a parswas a That consists of 6 chen 147.pdf
Suppose you make a parswas a That consists of 6 chen 147.pdfSuppose you make a parswas a That consists of 6 chen 147.pdf
Suppose you make a parswas a That consists of 6 chen 147.pdfactionindia2
 
Suppose X has the possible values 01234 Suppose that th.pdf
Suppose X has the possible values 01234 Suppose that th.pdfSuppose X has the possible values 01234 Suppose that th.pdf
Suppose X has the possible values 01234 Suppose that th.pdfactionindia2
 
Suppose you are assigned to develop a Mobile Financial Servi.pdf
Suppose you are assigned to develop a Mobile Financial Servi.pdfSuppose you are assigned to develop a Mobile Financial Servi.pdf
Suppose you are assigned to develop a Mobile Financial Servi.pdfactionindia2
 
Suppose you are interested in uncovering the relationship be.pdf
Suppose you are interested in uncovering the relationship be.pdfSuppose you are interested in uncovering the relationship be.pdf
Suppose you are interested in uncovering the relationship be.pdfactionindia2
 
Suppose you are indifferent between the investment in a taxa.pdf
Suppose you are indifferent between the investment in a taxa.pdfSuppose you are indifferent between the investment in a taxa.pdf
Suppose you are indifferent between the investment in a taxa.pdfactionindia2
 
Suppose Y1Y2Yn follow multivariate normal with mean 1 an.pdf
Suppose Y1Y2Yn follow multivariate normal with mean 1 an.pdfSuppose Y1Y2Yn follow multivariate normal with mean 1 an.pdf
Suppose Y1Y2Yn follow multivariate normal with mean 1 an.pdfactionindia2
 

Recommended

Suppose you have the folowing class defintion for the object.pdf
Suppose you have the folowing class defintion for the object.pdfSuppose you have the folowing class defintion for the object.pdf
Suppose you have the folowing class defintion for the object.pdfactionindia2
 
Suppose you take two different samples of size 9 and 16 from.pdf
Suppose you take two different samples of size 9 and 16 from.pdfSuppose you take two different samples of size 9 and 16 from.pdf
Suppose you take two different samples of size 9 and 16 from.pdfactionindia2
 
Suppose you make a parswas a That consists of 6 chen 147.pdf
Suppose you make a parswas a That consists of 6 chen 147.pdfSuppose you make a parswas a That consists of 6 chen 147.pdf
Suppose you make a parswas a That consists of 6 chen 147.pdfactionindia2
 
Suppose X has the possible values 01234 Suppose that th.pdf
Suppose X has the possible values 01234 Suppose that th.pdfSuppose X has the possible values 01234 Suppose that th.pdf
Suppose X has the possible values 01234 Suppose that th.pdfactionindia2
 
Suppose you are assigned to develop a Mobile Financial Servi.pdf
Suppose you are assigned to develop a Mobile Financial Servi.pdfSuppose you are assigned to develop a Mobile Financial Servi.pdf
Suppose you are assigned to develop a Mobile Financial Servi.pdfactionindia2
 
Suppose you are interested in uncovering the relationship be.pdf
Suppose you are interested in uncovering the relationship be.pdfSuppose you are interested in uncovering the relationship be.pdf
Suppose you are interested in uncovering the relationship be.pdfactionindia2
 
Suppose you are indifferent between the investment in a taxa.pdf
Suppose you are indifferent between the investment in a taxa.pdfSuppose you are indifferent between the investment in a taxa.pdf
Suppose you are indifferent between the investment in a taxa.pdfactionindia2
 
Suppose Y1Y2Yn follow multivariate normal with mean 1 an.pdf
Suppose Y1Y2Yn follow multivariate normal with mean 1 an.pdfSuppose Y1Y2Yn follow multivariate normal with mean 1 an.pdf
Suppose Y1Y2Yn follow multivariate normal with mean 1 an.pdfactionindia2
 
Suppose XY have joint density function fXYxy53xy+y2.pdf
Suppose XY have joint density function fXYxy53xy+y2.pdfSuppose XY have joint density function fXYxy53xy+y2.pdf
Suppose XY have joint density function fXYxy53xy+y2.pdfactionindia2
 
Suppose XY have the joint probability density function gi.pdf
Suppose XY have the joint probability density function gi.pdfSuppose XY have the joint probability density function gi.pdf
Suppose XY have the joint probability density function gi.pdfactionindia2
 
Suppose you are elected to Federal Parliament of Australia a.pdf
Suppose you are elected to Federal Parliament of Australia a.pdfSuppose you are elected to Federal Parliament of Australia a.pdf
Suppose you are elected to Federal Parliament of Australia a.pdfactionindia2
 
Suppose there is a minieconomy with two people A and B A s.pdf
Suppose there is a minieconomy with two people A and B A s.pdfSuppose there is a minieconomy with two people A and B A s.pdf
Suppose there is a minieconomy with two people A and B A s.pdfactionindia2
 
Suppose we have a correctly working user program fragment L.pdf
Suppose we have a correctly working user program fragment L.pdfSuppose we have a correctly working user program fragment L.pdf
Suppose we have a correctly working user program fragment L.pdfactionindia2
 
Suppose we have a random sample of size n from a population .pdf
Suppose we have a random sample of size n from a population .pdfSuppose we have a random sample of size n from a population .pdf
Suppose we have a random sample of size n from a population .pdfactionindia2
 
Suppose the following data describe a nations population I.pdf
Suppose the following data describe a nations population I.pdfSuppose the following data describe a nations population I.pdf
Suppose the following data describe a nations population I.pdfactionindia2
 
Suppose the Queensland Government is considering establishin.pdf
Suppose the Queensland Government is considering establishin.pdfSuppose the Queensland Government is considering establishin.pdf
Suppose the Queensland Government is considering establishin.pdfactionindia2
 
Suppose three fair dice are rolled What is the probability .pdf
Suppose three fair dice are rolled What is the probability .pdfSuppose three fair dice are rolled What is the probability .pdf
Suppose three fair dice are rolled What is the probability .pdfactionindia2
 
Suppose the work on ObjectOriented Design starts with the .pdf
Suppose the work on ObjectOriented Design starts with the .pdfSuppose the work on ObjectOriented Design starts with the .pdf
Suppose the work on ObjectOriented Design starts with the .pdfactionindia2
 
suppose the prevalance P088 of type two diabetes follows .pdf
suppose the prevalance P088 of type two diabetes follows .pdfsuppose the prevalance P088 of type two diabetes follows .pdf
suppose the prevalance P088 of type two diabetes follows .pdfactionindia2
 
Suppose the true rate at which MSU students selfidentify as.pdf
Suppose the true rate at which MSU students selfidentify as.pdfSuppose the true rate at which MSU students selfidentify as.pdf
Suppose the true rate at which MSU students selfidentify as.pdfactionindia2
 
Suppose the final prediction error FPE estimate of MSFE is.pdf
Suppose the final prediction error FPE estimate of MSFE is.pdfSuppose the final prediction error FPE estimate of MSFE is.pdf
Suppose the final prediction error FPE estimate of MSFE is.pdfactionindia2
 
Suppose the state government decides to offer a 15 per unit.pdf
Suppose the state government decides to offer a 15 per unit.pdfSuppose the state government decides to offer a 15 per unit.pdf
Suppose the state government decides to offer a 15 per unit.pdfactionindia2
 
Mattingly "AI & Prompt Design: The Basics of Prompt Design"
Mattingly "AI & Prompt Design: The Basics of Prompt Design"Mattingly "AI & Prompt Design: The Basics of Prompt Design"
Mattingly "AI & Prompt Design: The Basics of Prompt Design"National Information Standards Organization (NISO)
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactPECB
 
CARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxCARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxGaneshChakor2
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingTechSoup
 
Separation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesSeparation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesFatimaKhan178732
 
mini mental status format.docx
mini mental status format.docxmini mental status format.docx
mini mental status format.docxPoojaSen20
 
Z Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphZ Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphThiyagu K
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introductionMaksud Ahmed
 

More Related Content

More from actionindia2

Suppose XY have joint density function fXYxy53xy+y2.pdf
Suppose XY have joint density function fXYxy53xy+y2.pdfSuppose XY have joint density function fXYxy53xy+y2.pdf
Suppose XY have joint density function fXYxy53xy+y2.pdfactionindia2
 
Suppose XY have the joint probability density function gi.pdf
Suppose XY have the joint probability density function gi.pdfSuppose XY have the joint probability density function gi.pdf
Suppose XY have the joint probability density function gi.pdfactionindia2
 
Suppose you are elected to Federal Parliament of Australia a.pdf
Suppose you are elected to Federal Parliament of Australia a.pdfSuppose you are elected to Federal Parliament of Australia a.pdf
Suppose you are elected to Federal Parliament of Australia a.pdfactionindia2
 
Suppose there is a minieconomy with two people A and B A s.pdf
Suppose there is a minieconomy with two people A and B A s.pdfSuppose there is a minieconomy with two people A and B A s.pdf
Suppose there is a minieconomy with two people A and B A s.pdfactionindia2
 
Suppose we have a correctly working user program fragment L.pdf
Suppose we have a correctly working user program fragment L.pdfSuppose we have a correctly working user program fragment L.pdf
Suppose we have a correctly working user program fragment L.pdfactionindia2
 
Suppose we have a random sample of size n from a population .pdf
Suppose we have a random sample of size n from a population .pdfSuppose we have a random sample of size n from a population .pdf
Suppose we have a random sample of size n from a population .pdfactionindia2
 
Suppose the following data describe a nations population I.pdf
Suppose the following data describe a nations population I.pdfSuppose the following data describe a nations population I.pdf
Suppose the following data describe a nations population I.pdfactionindia2
 
Suppose the Queensland Government is considering establishin.pdf
Suppose the Queensland Government is considering establishin.pdfSuppose the Queensland Government is considering establishin.pdf
Suppose the Queensland Government is considering establishin.pdfactionindia2
 
Suppose three fair dice are rolled What is the probability .pdf
Suppose three fair dice are rolled What is the probability .pdfSuppose three fair dice are rolled What is the probability .pdf
Suppose three fair dice are rolled What is the probability .pdfactionindia2
 
Suppose the work on ObjectOriented Design starts with the .pdf
Suppose the work on ObjectOriented Design starts with the .pdfSuppose the work on ObjectOriented Design starts with the .pdf
Suppose the work on ObjectOriented Design starts with the .pdfactionindia2
 
suppose the prevalance P088 of type two diabetes follows .pdf
suppose the prevalance P088 of type two diabetes follows .pdfsuppose the prevalance P088 of type two diabetes follows .pdf
suppose the prevalance P088 of type two diabetes follows .pdfactionindia2
 
Suppose the true rate at which MSU students selfidentify as.pdf
Suppose the true rate at which MSU students selfidentify as.pdfSuppose the true rate at which MSU students selfidentify as.pdf
Suppose the true rate at which MSU students selfidentify as.pdfactionindia2
 
Suppose the final prediction error FPE estimate of MSFE is.pdf
Suppose the final prediction error FPE estimate of MSFE is.pdfSuppose the final prediction error FPE estimate of MSFE is.pdf
Suppose the final prediction error FPE estimate of MSFE is.pdfactionindia2
 
Suppose the state government decides to offer a 15 per unit.pdf
Suppose the state government decides to offer a 15 per unit.pdfSuppose the state government decides to offer a 15 per unit.pdf
Suppose the state government decides to offer a 15 per unit.pdfactionindia2
 

More from actionindia2 (14)

Suppose XY have joint density function fXYxy53xy+y2.pdf
Suppose XY have joint density function fXYxy53xy+y2.pdfSuppose XY have joint density function fXYxy53xy+y2.pdf
Suppose XY have joint density function fXYxy53xy+y2.pdf
 
Suppose XY have the joint probability density function gi.pdf
Suppose XY have the joint probability density function gi.pdfSuppose XY have the joint probability density function gi.pdf
Suppose XY have the joint probability density function gi.pdf
 
Suppose you are elected to Federal Parliament of Australia a.pdf
Suppose you are elected to Federal Parliament of Australia a.pdfSuppose you are elected to Federal Parliament of Australia a.pdf
Suppose you are elected to Federal Parliament of Australia a.pdf
 
Suppose there is a minieconomy with two people A and B A s.pdf
Suppose there is a minieconomy with two people A and B A s.pdfSuppose there is a minieconomy with two people A and B A s.pdf
Suppose there is a minieconomy with two people A and B A s.pdf
 
Suppose we have a correctly working user program fragment L.pdf
Suppose we have a correctly working user program fragment L.pdfSuppose we have a correctly working user program fragment L.pdf
Suppose we have a correctly working user program fragment L.pdf
 
Suppose we have a random sample of size n from a population .pdf
Suppose we have a random sample of size n from a population .pdfSuppose we have a random sample of size n from a population .pdf
Suppose we have a random sample of size n from a population .pdf
 
Suppose the following data describe a nations population I.pdf
Suppose the following data describe a nations population I.pdfSuppose the following data describe a nations population I.pdf
Suppose the following data describe a nations population I.pdf
 
Suppose the Queensland Government is considering establishin.pdf
Suppose the Queensland Government is considering establishin.pdfSuppose the Queensland Government is considering establishin.pdf
Suppose the Queensland Government is considering establishin.pdf
 
Suppose three fair dice are rolled What is the probability .pdf
Suppose three fair dice are rolled What is the probability .pdfSuppose three fair dice are rolled What is the probability .pdf
Suppose three fair dice are rolled What is the probability .pdf
 
Suppose the work on ObjectOriented Design starts with the .pdf
Suppose the work on ObjectOriented Design starts with the .pdfSuppose the work on ObjectOriented Design starts with the .pdf
Suppose the work on ObjectOriented Design starts with the .pdf
 
suppose the prevalance P088 of type two diabetes follows .pdf
suppose the prevalance P088 of type two diabetes follows .pdfsuppose the prevalance P088 of type two diabetes follows .pdf
suppose the prevalance P088 of type two diabetes follows .pdf
 
Suppose the true rate at which MSU students selfidentify as.pdf
Suppose the true rate at which MSU students selfidentify as.pdfSuppose the true rate at which MSU students selfidentify as.pdf
Suppose the true rate at which MSU students selfidentify as.pdf
 
Suppose the final prediction error FPE estimate of MSFE is.pdf
Suppose the final prediction error FPE estimate of MSFE is.pdfSuppose the final prediction error FPE estimate of MSFE is.pdf
Suppose the final prediction error FPE estimate of MSFE is.pdf
 
Suppose the state government decides to offer a 15 per unit.pdf
Suppose the state government decides to offer a 15 per unit.pdfSuppose the state government decides to offer a 15 per unit.pdf
Suppose the state government decides to offer a 15 per unit.pdf
 

Recently uploaded

Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactPECB
 
CARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxCARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxGaneshChakor2
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingTechSoup
 
Separation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesSeparation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesFatimaKhan178732
 
mini mental status format.docx
mini mental status format.docxmini mental status format.docx
mini mental status format.docxPoojaSen20
 
Z Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphZ Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphThiyagu K
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introductionMaksud Ahmed
 
Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104misteraugie
 
Interactive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communicationInteractive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communicationnomboosow
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxSayali Powar
 
Mastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionMastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionSafetyChain Software
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeThiyagu K
 
Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3JemimahLaneBuaron
 
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Sapana Sha
 
The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13Steve Thomason
 
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...Marc Dusseiller Dusjagr
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdfQucHHunhnh
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdfQucHHunhnh
 

Recently uploaded (20)

Mattingly "AI & Prompt Design: The Basics of Prompt Design"
Mattingly "AI & Prompt Design: The Basics of Prompt Design"Mattingly "AI & Prompt Design: The Basics of Prompt Design"
Mattingly "AI & Prompt Design: The Basics of Prompt Design"
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global Impact
 
CARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxCARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptx
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy Consulting
 
Separation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesSeparation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and Actinides
 
mini mental status format.docx
mini mental status format.docxmini mental status format.docx
mini mental status format.docx
 
Z Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphZ Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot Graph
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introduction
 
Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104
 
Interactive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communicationInteractive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communication
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
 
Mastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionMastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory Inspection
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and Mode
 
Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3
 
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
 
The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13
 
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
 
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptxINDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
 

Suppose X1Xn are iid random variables with mean EX an.pdf

  • 1. Suppose X1,,Xn are i.i.d random variables with mean E(X)= and variance VAR(X)=2. Sample variance is defined as Vn=n1i=1n(XiMn)2,1 where Mn is the sample mean. Show that the expected value of Vn is given by: E[Vn]=nn12 Hint: Manipulate Vn into the form: Vn=n1i=1n(Xi)2( Mn)2 Provide an explanation as to why the sample variance is not an unbiased estimator; in other words, why do we have the factor nn1 ?