ISI JRF in Statistics Sample Paper 2020 | ISI JRF in Statistics Model Question Paper 2020

ISI JRF in Statistics Sample Model Papers 2020

Indian Statistical Institute ISI JRF in Statistics 2020 Model Question Papers 2020 ISI JRF in Statistics Sample Question papers ISI JRF in Statistics Mock Test Question Paper for 2020 Exam, This ISI JRF in Statistics Question are based on the syllabus but here some of the question may out of syllabus, just for your better exam ISI JRF in Statistics Exam preparation.

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ISI JRF in Statistics Sample Model Papers 2020

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1. The number of accidents X per year in a manufacturing plant may be mod- elled as a Poisson random variable with mean . Assume that accidents in successive years are independent random variables and suppose that you have n observations.

(a) How will you nd the minimum variance unbiased estimator for the prob- ability that in a year the plant has at most one accident ?
(b) Suppose that you wish to estimate . Suggest two unbiased estimators of and hence nd the UMVUE of .

32. Let the life time (in hours) of a bulb be random and follow exponential dis- tribution with mean 1= hours. Let Xn = number of bulbs having lasted for more that 5 hours in a random sample of n bulbs. Construct a consistent estimate of on the basis of Xn.

Let X1; X2; ; Xn be a random sample of size n from a negative exponential distribution with mean . The experiment is terminated after the rst r(r n) smallest observations have been noted. Write down the likelihood for based on these censored observations. Find the mle of . Obtain the UMP test for testing H0 : = 0 vs. H1 : > 0 at level .

ISI JRF in Statistics Sample Papers Part 2011