Find out the order statistics of a random sample

Assignment Help Basic Statistics

Reference no: EM13993314

1. Let Yi and Yn be, respectively, the first and nth order statistics of a random sample of size n from a distribution of the continuous type having distribution function }{x). Find the smallest value of n such that Pr [}{Yn) - F( Yi ) 0.5] is at least 0.95.

2. Let Y2 and Y,,-= i denote the second and the (n - 1)st order statistics of a random sample of size n from a distribution of the continuous type having distribution function }{x). Compute Pr [}{Y,, _ i ) -}{Y2 ) > p], where O <>I.

Reference no: EM13993314

Questions Cloud

Finding the observations of the sample : In the definition of Wilcoxon's statistic, let W1 be the sum of the ranks of those observations of the sample that are positive and let W2 be the sum of the ranks of those observations that are negative. Then W = W1 - W2.

Identify the perspective of the contemporary theory : Identify the perspective of the contemporary theory and describe current research and application to the field of lifespan development.

Determining the percent tolerance interval : Let Yi Y2 ··· Y48 be the order statistics of a random sample of size 48 from a distribution of the continuous type. We want to use the observed interval (y4 , y45 ) as a lOOy percent tolerance interval for 75 percent of the distribution.

What is an example of intersectionality : Why is intersectionality important when discussing identety?

Find out the order statistics of a random sample : 1. Let Yi and Yn be, respectively, the first and nth order statistics of a random sample of size n from a distribution of the continuous type having distribution function }{x). Find the smallest value of n such that Pr [}{Yn) - F(..

Essay – ipod and philosophy : It's a reflexive essay, in the attachment you'll find the reading that you'll use to take an IDEA OR ARGUEMENT NOT THE WHOLE READING that the writer wrote or claim and then you argue against it

Explain the difference in individual rights and social order : Explain the difference in individual rights and social order, and examine the major effects of both on the legal system overall - Discuss the essentials ways in which the law effectuates social change in American society through judicial activism.

Is the paraphrase or summary successful : To receive discussion points, you must describe specific criteria that make the sources acceptable, the citation correct, or the paraphrase well written. Be wary of discussing the topic rather than offering substantive criticism.

Distribution of the continuous type : Let Y, Y2 ·· · Y25 be the order statistics of a random sample of size n = 25 from a distribution of the continuous type. Compute approximately:

User Account

All Pages