The asymptotic distribution of the correlation coefficient in testing fit to the exponential distribution | Zendy

Lockhart R. A. | Zendy

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The asymptotic distribution of the correlation coefficient in testing fit to the exponential distribution

Author(s) -

Lockhart R. A.

Publication year - 1985

Publication title -

canadian journal of statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.804

H-Index - 51

eISSN - 1708-945X

pISSN - 0319-5724

DOI - 10.2307/3315156

Subject(s) - asymptotic distribution , mathematics , statistics , exponential distribution , natural exponential family , distribution (mathematics) , exponential function , correlation coefficient , exponential family , exponentially modified gaussian distribution , mathematical analysis , estimator

The asymptotic distribution of certain tests of fit to the exponential distribution is obtained. The tests are based on regression of the order statistics on their expectations under a standard exponential distribution. Asymptotic normality at the rate (log n ) 1/2 is obtained for a family of statistics including the correlation coefficient.

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