Homework Answers
ANSWER:
Add Answer to:
please explain all steps
value when p= p= p= 1, and p = h. Note that...
a) Prove that if Y is a random variable with all of its cumulants of order...
a) Prove that if Y is a random variable with all of its cumulants of order greater than two equal to zero, i.e., 0 = K_3 = K_4 = ......... then Y has a normal distribution. b) Suppose that Z has cumulant generating function k_Z(t) with E(Z) = 0 and Var(Z) = 1. Let Y = σZ + μ. Find the cumulant generating function of Y , k_Y (t) in terms of k_Z(.). Use this to prove that all cumulants...
Pls explain to me step by step. pls write clearly and dont skip any steps. i will rate ur answer ...
pls explain to me step by
step. pls write clearly and dont skip any steps. i will rate ur
answer immediately. thanks.
A metric space is a set M together with a distance function p(x, y) "distance" between elements a and y of the set M. The distance function must satisfy that represents the (i) f (x,y) 0 and p(z, y)--0 if and only if x y; (ii) ρ(z,y)=ρ(y,x); (iii) ρ(z, y) ρ(z, z) + ρ(z, y) for all x,...
I. The random variables X,, where P(success) = P(X = 1) = p = 1-P(X = 0) for1,2,..., represent a ...
I. The random variables X,, where P(success) = P(X = 1) = p = 1-P(X = 0) for1,2,..., represent a series of independent Bernoulli trials. Let the random variable Y be the trial number on which the first success is achieved (a) Explain why the probability mass function of Y is f(y) = pqy-1, y = 12. where q 1- p. State the distribution of Y. 2 part of your answer you should verify this is a marimum likelihood estima-...
No a,b needed. please do c and d with clear steps A mixture of m univariate...
No a,b needed. please do c and d with clear steps
A mixture of m univariate Gaussians has the PDF: X(x) - where each pi 0 and Σ-i pi-1, and N(x; μ, σ*) = (2πσ2)-1/2 exp (-(x-p?/(2σ2)) exp (-(x-μ)2 a) How many parameters does a mixture of m Gaussians have? b) Let xi, , Vn be n observations drawn from a mixture of m Gaussians. Write down the log-likelihood function. Hint: it should involve two summations c) Let 1 k...
He second form for one-parameter exponential family distributions, introduced during lecture 09.1...
he second form for one-parameter exponential family distributions, introduced during lecture 09.1, was Jy (y | θ) = b(y)ec(0)t(y)-d(0) Let η = c(0). If c is an invertible function, we can rewrite (1) as where η is called the natural, or canonical, parameter and K(n) = d(C-1(n)). Expression (2) is referred to as the canonical representation of the exponential family distribution (a) Function κ(η) is called the log-normalizer: it ensures that the distribution fy(y n) integrates to one. Show that,...
please work out parts b,c,d with clear steps thanks A mixture of m univariate Gaussians has...
please work out parts b,c,d with clear steps thanks
A mixture of m univariate Gaussians has the PDF: X(x) - where each pi 0 and Σ-i pi-1, and N(x; μ, σ*) = (2πσ2)-1/2 exp (-(x-p?/(2σ2)) exp (-(x-μ)2 a) How many parameters does a mixture of m Gaussians have? b) Let xi, , Vn be n observations drawn from a mixture of m Gaussians. Write down the log-likelihood function. Hint: it should involve two summations c) Let 1 k < m....
Please prove the following theorem: Let Yı, Y2, ... ,Yn be independent normally distributed random variables...
Please prove the following theorem: Let Yı, Y2, ... ,Yn be independent normally distributed random variables with E(Y;) = Hi and V(Y) = 0;, for i = 1, 2,..., n, and let 21, 22, ...,an be constants. If maiYi = ajY1 + a2Y2 + ...anYn i=1 then U is a normally distributed random variable with E(U) = Žar, and v(u) = 4:07. i= 1 (Hint: the moment generating function of Y ~ N(u,02) is 02t2 m(t) = E(etY) = exp...
I need help with this problem. Please explain in detail. 7. (based on 3.3.9) Let X...
I need help with this problem. Please explain in detail.
7. (based on 3.3.9) Let X have a Gamma distribution with parameters a and B. Show that Hint: It may be helpful to use the following bound from last term's homework (you do not need to reprove this bound): If X has mgf M(t), then for any a and for any t where the mgf is defined we have P(X 2 a) < eaM(t)
and the references it needs H-13. Equation 16.5 gives P for the van der Waals equation...
and the references it needs
H-13. Equation 16.5 gives P for the van der Waals equation as a function of V and T. Show that P expressed as a function of V, T, and n is nRT n2a Now evaluate (aP/aV), from Equation 16.5 and (aP/aV), from Equation 1 above and show that (see Problem H-12) a P H-12. Prove that and that a P T,n where Y = Y(P, T, n) is an extensive variable. We were unable to...
12. let Mx(1) be the moment generating function of X. Show that (a) Mex+o(t) = eMx(at)....
12. let Mx(1) be the moment generating function of X. Show that (a) Mex+o(t) = eMx(at). (b) TX - Normal(), o?) and moment generating function of X is Mx (0) - to'p. Show that the random variable 2 - Normal(0,1) 13. IX. X X . are mutually independent normal random variables with means t o ... and variances o, o,...,0, then prove that X NOEL ?). 14. If Mx(1) be the moment generating function of X. Show that (a) log(Mx...
pls explain to me step by
step. pls write clearly and dont skip any steps. i will rate ur
answer immediately. thanks.
A metric space is a set M together with a distance function p(x, y) "distance" between elements a and y of the set M. The distance function must satisfy that represents the (i) f (x,y) 0 and p(z, y)--0 if and only if x y; (ii) ρ(z,y)=ρ(y,x); (iii) ρ(z, y) ρ(z, z) + ρ(z, y) for all x,...
I. The random variables X,, where P(success) = P(X = 1) = p = 1-P(X = 0) for1,2,..., represent a series of independent Bernoulli trials. Let the random variable Y be the trial number on which the first success is achieved (a) Explain why the probability mass function of Y is f(y) = pqy-1, y = 12. where q 1- p. State the distribution of Y. 2 part of your answer you should verify this is a marimum likelihood estima-...
No a,b needed. please do c and d with clear steps
A mixture of m univariate Gaussians has the PDF: X(x) - where each pi 0 and Σ-i pi-1, and N(x; μ, σ*) = (2πσ2)-1/2 exp (-(x-p?/(2σ2)) exp (-(x-μ)2 a) How many parameters does a mixture of m Gaussians have? b) Let xi, , Vn be n observations drawn from a mixture of m Gaussians. Write down the log-likelihood function. Hint: it should involve two summations c) Let 1 k...
he second form for one-parameter exponential family distributions, introduced during lecture 09.1, was Jy (y | θ) = b(y)ec(0)t(y)-d(0) Let η = c(0). If c is an invertible function, we can rewrite (1) as where η is called the natural, or canonical, parameter and K(n) = d(C-1(n)). Expression (2) is referred to as the canonical representation of the exponential family distribution (a) Function κ(η) is called the log-normalizer: it ensures that the distribution fy(y n) integrates to one. Show that,...
please work out parts b,c,d with clear steps thanks
A mixture of m univariate Gaussians has the PDF: X(x) - where each pi 0 and Σ-i pi-1, and N(x; μ, σ*) = (2πσ2)-1/2 exp (-(x-p?/(2σ2)) exp (-(x-μ)2 a) How many parameters does a mixture of m Gaussians have? b) Let xi, , Vn be n observations drawn from a mixture of m Gaussians. Write down the log-likelihood function. Hint: it should involve two summations c) Let 1 k < m....
Please prove the following theorem: Let Yı, Y2, ... ,Yn be independent normally distributed random variables with E(Y;) = Hi and V(Y) = 0;, for i = 1, 2,..., n, and let 21, 22, ...,an be constants. If maiYi = ajY1 + a2Y2 + ...anYn i=1 then U is a normally distributed random variable with E(U) = Žar, and v(u) = 4:07. i= 1 (Hint: the moment generating function of Y ~ N(u,02) is 02t2 m(t) = E(etY) = exp...
I need help with this problem. Please explain in detail.
7. (based on 3.3.9) Let X have a Gamma distribution with parameters a and B. Show that Hint: It may be helpful to use the following bound from last term's homework (you do not need to reprove this bound): If X has mgf M(t), then for any a and for any t where the mgf is defined we have P(X 2 a) < eaM(t)
and the references it needs
H-13. Equation 16.5 gives P for the van der Waals equation as a function of V and T. Show that P expressed as a function of V, T, and n is nRT n2a Now evaluate (aP/aV), from Equation 16.5 and (aP/aV), from Equation 1 above and show that (see Problem H-12) a P H-12. Prove that and that a P T,n where Y = Y(P, T, n) is an extensive variable. We were unable to...
12. let Mx(1) be the moment generating function of X. Show that (a) Mex+o(t) = eMx(at). (b) TX - Normal(), o?) and moment generating function of X is Mx (0) - to'p. Show that the random variable 2 - Normal(0,1) 13. IX. X X . are mutually independent normal random variables with means t o ... and variances o, o,...,0, then prove that X NOEL ?). 14. If Mx(1) be the moment generating function of X. Show that (a) log(Mx...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago