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The homogeneity of uniform scale distributions is analyzed and compared with that of two-sided and one-sided alternatives. The results show that for both two- and one-sided alternatives, each test in the class of constant-size permutations is unbiased. The exact and asymptotic distribution of the likelihood ratio test are derived., 1. INTRODUCTION AND SUMMARY Consider the model where [X.sub.ij], i = 1, 2, ..., k; j = 1, 2, ..., [n.sub.i] are independent uniform random variables with scale parameter [[Theta].sub.i] [...]

We use an economic approach of Mendel to derive new bivariate exponential lifetime distributions. Features distinguishing this approach from the existing ones are (1) it makes use of the principle of indifference: (2) our parameter of interest is a measurable function of observable quantities; (3) the assessment of the probability measure for random lifetimes is performed by assessing that for random lifetime costs with a change of variables; and (4) characterization properties other than the bivariate loss-of-memory property are used to construct distributions. For the infinite population case, our distributions correspond to mixtures of existing bivariate exponential distributions such as the Freund distribution, the Marshall-Olkin distribution, and the Friday-Patil distribution. Moreover, a family of natural conjugate priors for Bayesian Freund(-type) bivariate exponential distributions is discussed. KEY WORDS: Freund distribution; Friday-Patil distribution; [l.sub.1]-isotropy; Marshall-Olkin distribution; Principle of indifference., A Mendelian economic approach is used to generate new bivariate lifetime distributions. The new technique applies the principle of indifference, provides a parameter of interest that can be described functionally from observable variables, allows random lifetime probability measure assessment and develops distributions beyond the bivariate loss-of-memory property. The approach also corresponds to different distributions in the infinite population case., 1. INTRODUCTION The exponential distribution is frequently used as a component lifetime distribution in reliability theory because of its distinctive loss-of-memory property or constant failure rate. In other words, the [...]