(a) Define the concept of convergence in distribution for a sequence of random variables. (b) Let X1, X2,..., X, be iid exponential with parameter A (pdf= A exp(-Az)]. Let X(n) be the nh order statistic. Find the p.d.f. of X(n). (c) Find a sequence {bn} of real numbers such that Xn) - bn converges in distribution. and find the limiting distribution. |

MATLAB: An Introduction with Applications
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- (a) Define the concept of convergence in distribution for a sequence of random variables.
(b) Let X1, X2,..
X(n) be the nth order statistic. Find the p.d.f. of X(n)-
Xn be iid exponential with parameter A (pdf= A exp(-Ar)]. Let
(c) Find a sequence {bn} of real numbers such that X(n) - bn converges in distribution.
and find the limiting distribution.
Transcribed Image Text:- (a) Define the concept of convergence in distribution for a sequence of random variables. (b) Let X1, X2,.. X(n) be the nth order statistic. Find the p.d.f. of X(n)- Xn be iid exponential with parameter A (pdf= A exp(-Ar)]. Let (c) Find a sequence {bn} of real numbers such that X(n) - bn converges in distribution. and find the limiting distribution.
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