Suppose that Yl Y quot Yn denote a random sample of size n from a Poisson distribution with mean A

Suppose that Yl Y quot Yn denote a random sample of size n from a

Yn denote a random sample of size n from a Poisson distribution with mean A Consider A Y Yg and

Suppose that Yl Y quot Yn denote a random sample of size n

from a Poisson distribution with mean A Consider A Y Yg and

Suppose that Yl Y quot Yn denote a random sample

Suppose that Yl Y quot

Category: | |

Words: | |

Amount: | $25.31 |

Writer: | 0 |

Paper instructions

Thanks for helping me solve these 6 questions
these 6 quetions
ATTACHMENT PREVIEW Download attachment
???? 2017-08-21 ??1.11.15.png
6. 10. 11. 12. Suppose that Yl, Y21'” ,Yn denote a random sample of size n from a Poisson distribution with
mean A. Consider A1: (Y1 + Yg)/2 and A2: Y. Derive the ef?ciency of A1 relative to A2.
Which is a better estimate? Why? The reading on a voltage meter connected to a test circuit is uniformly distributed over the
interval (19,19 + 1), where 6‘ is the true but unknown voltage of the circuit. Suppose that
Yl, Y2, ..., Yn denote a random sample of such readings. (a) Show that Y is a biased estimator of 9 and compute the bias.
(b) Find a function of Y that is an unbiased estimator of 6'.
(c) Find MSE(Y) when Y is used as an estimator of 9. . Let Y1,Y2,. . . ,Yn denote a random sample of size n from an exponential distribution with density function given by,
1
fy(s)= -e_y/9, y > 0- (a) Show that 91 = iii/(1) is an unbiased estimator for s and ?nd MSE((§1). Hint: What is the
distribution of YO)? (b) Show that 52 = Y is an unbiased estimator for 6 and ?nd MSE(§2). (c) Find the ef?ciency of 91 relative to 032. Which estimate is ”better” (i.e., more ef?cient)? . If Y has a binomial distribution with n trials and success probability 3;, show that Y/n is a consistent estimator of p. Let 171,172,. . . ,Yn denote a random sample from the probability density function: 1'14?!) = 9y9_111{0<y<1}i
where 9 > 0. Show that Y 1s a consistent estimator of 3 +1 Let Y1,Y2, ...,Yn, denote a random sample from pdf given by (393) e’yZ/g, y > 0 0, otherwise f(y|9) ={ with parameter 0. Show that 2:1 YE is suf?cient for 9. Let Y1, Y2, . . . ,Yn denote a random sample from the probability density function
f(y|9) = «rs—'5'). y 2 9. Show that Y0) = min<[Y1, . . . ,Yn} is su?icient for 9. Hint: use an indicator function since the
suppmr't depends on 9

# Answer

Get Essay Answer

1,200,000+ Questions

Satisfaction guaranteed