Suppose that X is a geometric random variable, where p X (k ) (1) k1 , k 1, 2, Assume that the prior distribution for is the beta pdf with parameters r and s Find the posterior distribution for

Question: Suppose that X is a geometric random variable, where p X (k|) = (1) k1 , k = 1, 2, . . . . Assume

Suppose that X is a geometric random variable, where p_X(k|θ) = (1−θ)^k−1θ, k = 1, 2, . . . . Assume that the prior distribution for θ is the beta pdf with parameters r and s. Find the posterior distribution for θ.

Step by Step Solution

★★★★★

3.57 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Bayesian Estimation The numerator of g x k ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

681-M-C-M-S (871).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

If X is a geometric random variable, show analytically that P{X = n + k|X > n} = P{X = k} Using the interpretation of a geometric random variable, give a verbal argument as to why the preceding...

If X is a Geometric random variable with parameter p (in other words, P(X = x) = px(x) = (1- p)x-lp For x = 1, 2, 3,..., and pX(x) = 0 otherwise), then find the moment generating function of X.

Suppose that Y is a geometric random variable where the probability of success for each Bernoulli trial is p. If m, n Z+ with m > n, determine Pr (Y > m\Y > n).

20. Independent trials, each of which is a success with probability p, are successively performed. Let X denote the first trial resulting in a success. That is, X will equal k if the first k1 trials...

Question (3): Point Estimation of Parameters and Sampling Distributions [35 points] 1) Suppose that 8, and are estimators of the parameter 8. We know that E(8) = 0, E(8) = 8/3, V(8) = 10, V(8) = 4....

6. (a) Show that if X is a geometric random variable, then P(X > +j | X > 1') : P(X > 3') for any positive integers 1' and j. (*) This is called the memoryless property of the geometric distribution....

Set 4 Due April 26, 2016 BENG 100 S16 1. See iPython notebook on Ted. Fill it in, run it, and make sure it works. Submit on Ted. 2. Suppose that Y is a geometric random variable of parameter p, 1 (a)...

Answer all. please give explanation Suppose the blood of 1000 persons has to be tested to see which ones are infected by a (rare) disease. Suppose that the probability that the test10.5 Exercises 147...

1- i- If X is a Bernoulli random variable with P = 0.4 Find P(X less than1) ii- If X =(x1,x2,..., x4) is a random sample with size 4 taken from 4 Bernoulli(0.2), Find P (summation xi , less...

I dont mind if there is a little bit explanation and no work. I am just looking for the answers 11. Suppose X is a geometric random variable with success probability 0.30. Find P(X = 3). Round your...

A 25.0-mL sample of 0.050 M barium nitrate solution was mixed with 25.0 mL of 0.050 M sodium sulfate solution labeled with radioactive sulfur-35. The activity of the initial sodium sulfate solution...

Resset Co. provides the following results of Aprils operations: F indicates favorable and U indicates unfavorable. Applying the management by exception approach, which of the variances are of...

2 . What are the differences among T - bills, T - notes, and T - bonds?

Define a linear probability model (LPM) with an example.

A message can follow different paths through servers on a network. The senders message can go to one of five servers for the first step, each of them can send to five servers at the second step, each...

Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: Shock resistance High Low Scratch high 70 9...

Samples of a Fast aluminum part are classified on the basis of surface finish (in micro inches) and edge finish. The results of 100 parts are summarized as follows: Edge finish Excellent Good Surface...

Q1) What is the total percentage return for an investor who purchased a stock for $7.31, received $1.49 in dividend payments, and sold the stock for $8.55 ? ( 2 points) Q2) A stock had the following...

Big sky hospital plans to obtain a new MRI that costs $1.5 million and has an estimated four year useful life. It can obtain a bank loan for the entire amount and buy the MRI, or it can lease the...

Question 10 For each of tlle following match the description with the best response, Complete Points out of 18.00 Liquidity Ratios These help to discover how long it generally takes for our customers...