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I am Jason B. I am a Microeconomics Theory Homework Expert at economicshomeworkhelper.com. I hold a Master's in Economics, from Princeton University, USA. I have been helping students with their homework for the past 8 years. I solve homework related to Microeconomics Theory.
Visit economicshomeworkhelper.com or email info@economicshomeworkhelper.com.
You can also call on +1 678 648 4277 for any assistance with Microeconomics Theory Homework.
Looking for microeconomics homework help We have a team of experienced eco tutors available 24x7 in order to help you with economics assignments and homework
I am Bon Leofen Currently associated with economicshomeworkhelper.com as an economics homework helper. After completing my master's at Ambrose University, I was in search of an opportunity that would expand my area of knowledge hence I decided to help students with their assignments. I have written several economics assignments to date to help students overcome numerous difficulties they face.
a) Use Newton’s Polynomials for Evenly Spaced data to derive the O(h.pdfpetercoiffeur18
a) Use Newton’s Polynomials for Evenly Spaced data to derive the O(h4) accurate Second
Centered Difference approximation of the 1st derivative at nx. Start with a polynomial fit to
points at n-2x , n-1x, nx , n+1x and n+2x .
b) Use Newton’s Polynomials for Evenly Spaced data to derive the O(h4) accurate Second
Centered Difference approximation of the 2nd derivative at nx . Remember, to keep the same
O(h4) accuracy, while taking one more derivative than in Part a, we need to add a point to the
polynomial we used in part a.t,s01530456075y,km0356488107120
Solution
An interpolation assignment generally entails a given set of information points: in which the
values yi can,
xi x0 x1 ... xn
f(xi) y0 y1 ... yn
for instance, be the result of a few bodily measurement or they can come from a long
numerical calculation. hence we know the fee of the underlying characteristic f(x) at the set
of points xi, and we want to discover an analytic expression for f .
In interpolation, the assignment is to estimate f(x) for arbitrary x that lies among the smallest
and the most important xi
. If x is out of doors the variety of the xi’s, then the task is called extrapolation,
which is substantially greater unsafe.
with the aid of far the maximum not unusual useful paperwork utilized in interpolation are the
polynomials.
different picks encompass, as an instance, trigonometric functions and spline features
(mentioned
later during this direction).
Examples of different sorts of interpolation responsibilities include:
1. Having the set of n + 1 information factors xi
, yi, we want to understand the fee of y in the
complete c program languageperiod x = [x0, xn]; i.e. we need to find a simple formulation
which reproduces
the given points exactly.
2. If the set of statistics factors contain errors (e.g. if they are measured values), then we
ask for a components that represents the records, and if feasible, filters out the errors.
3. A feature f may be given within the shape of a pc system which is high priced
to assess. In this case, we want to find a characteristic g which offers a very good
approximation of f and is simpler to assess.
2 Polynomial interpolation
2.1 Interpolating polynomial
Given a fixed of n + 1 records points xi
, yi, we need to discover a polynomial curve that passes
via all the factors. as a consequence, we search for a non-stop curve which takes at the values yi
for every of the n+1 wonderful xi’s.
A polynomial p for which p(xi) = yi whilst zero i n is stated to interpolate the given set of
records points. The factors xi are known as nodes.
The trivial case is n = zero. right here a steady function p(x) = y0 solves the hassle.
The only case is n = 1. In this situation, the polynomial p is a directly line described via
p(x) =
xx1
x0 x1
y0 +
xx0
x1 x0
y1
= y0 +
y1 y0
x1 x0
(xx0)
here p is used for linear interpolation.
As we will see, the interpolating polynomial may be written in an expansion of paperwork,
among
these are the Newton shape and the Lag.
Accounting for uncertainty is a crucial component in decision making (e.g., classification) because of ambiguity in our measurements.
Probability theory is the proper mechanism for accounting for uncertainty.
Engineering Research Publication
Best International Journals, High Impact Journals,
International Journal of Engineering & Technical Research
ISSN : 2321-0869 (O) 2454-4698 (P)
www.erpublication.org
Our experienced statistics help provider tutors offer support to complete your SAS homework help without any hassle. They are careful with your SAS homework and give 100% unique, well-researched, and authentic content. We have the best answers to do your SAS homework help. Because our statistics experts have plenty of years of experience in statistics, they also have excellent command over various statistics tools. They are having the best solution for your SAS homework .
I am Craig D. I am a Probabilistic Assignment Expert at statisticsassignmenthelp.com. I hold a master's in Statistics from Malacca, Malaysia.
I have been helping students with their assignments for the past 6 years. I solve assignments related to Probabilistic Systems Analysis.
Visit statisticsassignmenthelp.com or email info@statisticsassignmenthelp.com.
You can also call on +1 678 648 4277 for any assistance with Probabilistic Systems Analysis Assignments.
Statement of stochastic programming problemsSSA KPI
AACIMP 2010 Summer School lecture by Leonidas Sakalauskas. "Applied Mathematics" stream. "Stochastic Programming and Applications" course. Part 1.
More info at http://summerschool.ssa.org.ua
a) Use Newton’s Polynomials for Evenly Spaced data to derive the O(h.pdfpetercoiffeur18
a) Use Newton’s Polynomials for Evenly Spaced data to derive the O(h4) accurate Second
Centered Difference approximation of the 1st derivative at nx. Start with a polynomial fit to
points at n-2x , n-1x, nx , n+1x and n+2x .
b) Use Newton’s Polynomials for Evenly Spaced data to derive the O(h4) accurate Second
Centered Difference approximation of the 2nd derivative at nx . Remember, to keep the same
O(h4) accuracy, while taking one more derivative than in Part a, we need to add a point to the
polynomial we used in part a.t,s01530456075y,km0356488107120
Solution
An interpolation assignment generally entails a given set of information points: in which the
values yi can,
xi x0 x1 ... xn
f(xi) y0 y1 ... yn
for instance, be the result of a few bodily measurement or they can come from a long
numerical calculation. hence we know the fee of the underlying characteristic f(x) at the set
of points xi, and we want to discover an analytic expression for f .
In interpolation, the assignment is to estimate f(x) for arbitrary x that lies among the smallest
and the most important xi
. If x is out of doors the variety of the xi’s, then the task is called extrapolation,
which is substantially greater unsafe.
with the aid of far the maximum not unusual useful paperwork utilized in interpolation are the
polynomials.
different picks encompass, as an instance, trigonometric functions and spline features
(mentioned
later during this direction).
Examples of different sorts of interpolation responsibilities include:
1. Having the set of n + 1 information factors xi
, yi, we want to understand the fee of y in the
complete c program languageperiod x = [x0, xn]; i.e. we need to find a simple formulation
which reproduces
the given points exactly.
2. If the set of statistics factors contain errors (e.g. if they are measured values), then we
ask for a components that represents the records, and if feasible, filters out the errors.
3. A feature f may be given within the shape of a pc system which is high priced
to assess. In this case, we want to find a characteristic g which offers a very good
approximation of f and is simpler to assess.
2 Polynomial interpolation
2.1 Interpolating polynomial
Given a fixed of n + 1 records points xi
, yi, we need to discover a polynomial curve that passes
via all the factors. as a consequence, we search for a non-stop curve which takes at the values yi
for every of the n+1 wonderful xi’s.
A polynomial p for which p(xi) = yi whilst zero i n is stated to interpolate the given set of
records points. The factors xi are known as nodes.
The trivial case is n = zero. right here a steady function p(x) = y0 solves the hassle.
The only case is n = 1. In this situation, the polynomial p is a directly line described via
p(x) =
xx1
x0 x1
y0 +
xx0
x1 x0
y1
= y0 +
y1 y0
x1 x0
(xx0)
here p is used for linear interpolation.
As we will see, the interpolating polynomial may be written in an expansion of paperwork,
among
these are the Newton shape and the Lag.
Accounting for uncertainty is a crucial component in decision making (e.g., classification) because of ambiguity in our measurements.
Probability theory is the proper mechanism for accounting for uncertainty.
Engineering Research Publication
Best International Journals, High Impact Journals,
International Journal of Engineering & Technical Research
ISSN : 2321-0869 (O) 2454-4698 (P)
www.erpublication.org
Our experienced statistics help provider tutors offer support to complete your SAS homework help without any hassle. They are careful with your SAS homework and give 100% unique, well-researched, and authentic content. We have the best answers to do your SAS homework help. Because our statistics experts have plenty of years of experience in statistics, they also have excellent command over various statistics tools. They are having the best solution for your SAS homework .
I am Craig D. I am a Probabilistic Assignment Expert at statisticsassignmenthelp.com. I hold a master's in Statistics from Malacca, Malaysia.
I have been helping students with their assignments for the past 6 years. I solve assignments related to Probabilistic Systems Analysis.
Visit statisticsassignmenthelp.com or email info@statisticsassignmenthelp.com.
You can also call on +1 678 648 4277 for any assistance with Probabilistic Systems Analysis Assignments.
Statement of stochastic programming problemsSSA KPI
AACIMP 2010 Summer School lecture by Leonidas Sakalauskas. "Applied Mathematics" stream. "Stochastic Programming and Applications" course. Part 1.
More info at http://summerschool.ssa.org.ua
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar Kanvaria
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
Francesca Gottschalk from the OECD’s Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
Azure Interview Questions and Answers PDF By ScholarHat
Microeconomics Theory Exam Help
1. Microeconomic Theory Exam Help
For any Exam related queries, Call us at: - +1 678 48 4277
You can mail us at - support@economicsexamhelp.com or
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2. Microeconomic Theory
Problem
1. Show that the monotone likelihood ratio condition (f(x)/g(x) increasing in x, where x is a real
number) implies first-order stochastic dominance (F(x) G(x) for all x).
2. Let = 1 or 2 denote the state of nature in a two state world. Let p0 = Pr( = 1). Let f(p)
be an arbitrary distribution on the unit interval such that pf(p)dp = p0. Show that f(p) can be
construed as a distribution over posterior probabilities of p, stemming from an experiment
with outcomes y, a prior probability p = p0 and two likelihood functions p(y| 1) and p(y| 2).
[It may be easier to solve the problem if you assume that f(p) consists of two mass points so
that the experiment will have only two relevant outcomes, say, yL and yH.]
3. An agent has to decide between two actions a1 and a2, uncertain of the prevailing state of
nature s, which can be either s1 or s2. The agent’s payoff as a function of the action and the
state of nature is as follows:
The prior probability of state s1 is p = Pr(s1).
a. Give a graphical representation of the agent’s decision problem as a function of the
probability of state s1. If p = (.4), what is the agent’s optimal decision?
economicsexamhelper.com
3. b. Let the agent have access to a signal y before taking an action. Assume y has two possible
outcomes with the following likelihoods
c. Show that, irrespectively of the prior, the information system 1 = ½ and 2 = 0 is preferred
to the information system 1 = ½ + ½ and 2 = , where and are any numbers between 0
and 1. (Hint: show that latter system is garbling of former).
4. *An agent can work hard (e = eH) or be lazy (e = eL), where eH > eL > 0. There are two profit
levels, x1 and x2; x1 < x2. Hard work makes the high profit level more likely. Specifically, Prob(x =
x2) is fH if the agent works hard and fL < fH, if the agent is lazy. The principal can only observe
realized profits x. The principal is risk neutral and the agent is risk averse with preferences u(w) -
e. The utility function u is strictly concave and increasing.
a. Assume that the Principal’s reservation utility is 0; that is, the Principal has to be assured a
non-negative profit. Show how to solve for the Pareto Optimal action and incentive scheme s(xi)
= si, i = 1,2, where si represents the payment to the agent if the outcome is xi.
b. Suppose that the agent is given the opportunity to choose a third action eM with the features
that Prob(x2|eM) = ½fH + ½fL and eM > ½eH + ½eL. Can the Principal implement eM?
c. Suppose that the second-best solution in Part a is such that it is optimal to implement eH. Let
the agent have access to the action eM described above, but assume now that eM < ½eH + ½eL.
Will the solution to Part a stand once the agent is given access to eM?
economicsexamhelper.com
4. 5. Consider the risk-sharing problem we saw in class. Show that the Pareto frontier is concave
(in expected utility space), or, equivalently, that the feasible set of utility pairs is convex.
economicsexamhelper.com
5. Solution
Definition 1 MLRP: g(x) is increasing in x.
Definition 2 FOSD: F (x) ≤ G(x)∀x
Solution 2. You want to design an experiment, that is a random variable Y (that takes value in
[0;1], for simplicity, and is characterized by the joint distribution p(θ,y) ) such that the
distribution of posteriors generated by this experiment is given by f(p). In the “experiment” the
posterior will be given by Pr(θ1|y) and the probability that this posterior arises is simply Pr(y).
In the statement, the probability that posterior p arises would be given by f(p). Therefore, we’d
like to take Pr(θ1|y)=p and Pr(y)=f(p) (for y=p) which directly defines p(θ1,y)=pf(p) ;Pr(θ2|y)=1-
p ; p(θ2,y)=(1-p)f(p). Does such a random variable exists ?
economicsexamhelper.com
6. Therefore such an experiment exists (we can construct a random variable Y such that the joint
distribution of (Y,θ) is p(θ,y) since p is non negative and sums up to 1) and the prior is given by
Pr(θ1)=∫ p(θ1,y)dy =p0 as wanted We can then define the likelihood functions using Bayes rule
and we have Pr(y|θ1)= Pr(θ1| y)Pr(y)/Pr(θ1)=pf(p)/p0 and similarly for Pr(y|θ2) . You can then
directly verify that the experiment defined by the outcome y, these likelihood functions and the
prior p0 generate posteriors distributed according to f.
Solution 3
1. We are given u (a, s) therefore we can derive v (a, p) :
The upper envelope of v (a, p) will be the V (p) (it indicates the maximum expected utility that
the agent can reach if faced with a probability of s1 equal top):
economicsexamhelper.com
7. At p = 0.4 the optimal decision is a2 since:
2. We are given the likelihood matrix:
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8. The probability of observing the two signals is:
Let’s calculate the posterior probabilities:
• If λ1 = λ2 = the information system has no value because the same signal y1 is as likely to 2
appear in the two states of nature. Whenever λ1 = λ2 the information system has no value. 1
• If λ1 = and λ2 = 0 the the likelihood matrix is the following:
Posteriors in this case are:
And probabilities of the two signals are
economicsexamhelper.com
9. When observe y1:
therefore the optimal choice as a function of the signal is:
Hence:
When observe y2:
therefore the optimal choice as a function of the signal is:
economicsexamhelper.com
10. hence:
We can know calculate VY as:
We can now calculate the value of information as:
3. We know that the Blackwell theorem gives general conditions under which one information
system ¡ ¢ 1 1 is preferred to another. So we just have to prove that the information system λ1
= α + β, λ2 = β 2 2 ¡ ¢ 1 is a garbling of the information system λ1 = , λ2 = 0 . 2 We have to find
a Markov matrix M:
economicsexamhelper.com
11. such that the following relationship between the likelihood matrices holds:
You can verify that such matrix M exists and is equal to the following:
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