an:04109828
Zbl 0677.62011
Shanmugam, Ramalingam
Asymptotic homogeneity tests for mean exponential family distributions
EN
J. Stat. Plann. Inference 23, No. 2, 227-241 (1989).
00171999
1989
j
62E10 62F03
Morris' natural exponential quadratic variance family distributions; characterization; statistical power; Mean Exponential Family; asymptotic test statistic; MEF; binomial; Poisson; negative binomial; beta; gamma; normal; Pareto; Laplace; Rayleigh distributions
Summary: A new class of distributions is defined, called the Mean Exponential Family (MEF). An asymptotic test statistic is derived to examine the homogeneity of a sample from the MEF, and then, expressions are obtained for binomial, Poisson, negative binomial, beta, gamma, normal, Pareto, Laplace, and Rayleigh distributions as special cases. As the results confirm a known underlying distribution for many data in the literature, there are advantages in the presented approach.