Let Y,..., Y, be a random sample from a distribution with theprobability density function f(y) = B(1 - y)-1 for 0 0. Consider the following estimators:() B, = Y%3D(1) 3, =%3D(M 3, =%3DWhich of the following is (are) consistent estimator(s) of B.O All of themO Only (1)Only (1)O Both (1) and (I1)

Given that Y1, . . . ,Yn be a random sample from a distribution with the probability density…

Answered: Let Y,...,Y, be a random sample from a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For a certain psychiatric clinic suppose that the random variable X represents the total time (in minutes) that a typical patient spends in this clinic during a typical visit (where this total time is the sum of the waiting time and the treatment time), and that the random variable Y represents the waiting time (in minutes) that a typical patient spends in the waiting room before starting treatment with a psychiatrist. Further, suppose that X and Y can be assumed to follow the bivariate density function fXY(x,y)=λ2e−λx, 0<y<x, where λ > 0 is a known parameter value. (a) Find the marginal density fX(x) for the total amount of time spent at the clinic. (b) Find the conditional density for waiting time, given the total time. (c) Find P (Y > 20 | X = x), the probability a patient waits more than 20 minutes if their total clinic visit is x minutes. (Hint: you will need to consider two cases, if x < 20 and if x ≥ 20.)
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Let the random variable Y denote the time (in minutes) for which a customer is waiting for the beginning of a service station since its arrival and let X denote the time (minutes) until the service is completed since its arrival at the service station. Since both X and Y measure the time since the arrival of the customer at the service station, always Y<X is true. The joint probability density function for X and Y is given as follows: fxy(x,y)=c(x+y) for 0<x<2 and 0<y<x what is the value of c? what is the covariance of X and Y? what is the correlation of X and Y?
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Let Y,...,Y, be a random sample from a distribution with the probability density function f(y) = B(1 – y)*-1 for 0 0. Consider the following estimators: () 3, - s Which of the following is (are) consistent estimatorts) of 8. O All of them O Only 00 O Only O Both and 0