Statistical Methods-Order Statistics (ISS Statistics Paper I (Old Subjective Pattern)): Questions 1 - 1 of 1

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Question number: 1

» Statistical Methods » Order Statistics » Maximum

Appeared in Year: 2014

Essay Question▾

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Let X 1, X 2, …, X n be n independently identically distributed random variables following an exponential distribution with mean parameter θ. Obtain the distributions of (i) Maximum (X 1, X 2, …, X n); (ii) Minimum (X 1, X 2, …, X n) and (iii) Median for n = 2m + 1, (m > 0)

Explanation

Let X 1, X 2, …, X n, be n independently identically distributed random variables following an exponential distribution with mean parameter θ. The probability density and distribution function is

fX(x)=1θexθ;θ>0… (514 more words) …

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