Some asymptotic inferential problems connected with complex elliptical distribution

Some Problems Connected With Rayleigh Distributions

This is an expository paper presenting t he following : (1) t hc origin, and (2) t he propelties of the R ayleigh distribution ; (3) the most e fficient cstimators of its paramctcrs; (4) a test of the hypothesis that a set of observations is from a R ayleigh dist ribu t ion ; (5) t he distr ibu t ion of t he ratio of t wo independent Rayleigh vari "tcs; and (6) the Rayleigh process deri ved fro...

Some Problems Connected with Statistical Inference

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Additive groups connected with asymptotic stability of some differential equations⋆

The asymptotic behaviour of a Sturm-Liouville differential equation with coefficient λq(s), s ∈ [s0,∞) is investigated, where λ ∈ R and q(s) is a nondecreasing step function tending to ∞ as s → ∞. Let S denote the set of those λ’s for which the corresponding differential equation has a solution not tending to 0. It is proved that S is an additive group. Four examples are given with S = {0}, S =...

Asymptotic Distribution of Divergence Measure with Applications

On Some Characterization Problems Connected with Stochastic Integrals*