On testing statistical hypotheses

On a new method of testing statistical hypotheses

“…If one compares the testing principles developed in [1] with those just proposed one must admit that in the new proposal considerably smaller bounds for Pr (Error of the II. kind) are obtained.…”

“…These tests will also improve those proposed by Matusita, Suzuki and Hudimoto [1]. Details can be taken from [5].…”

“…In [1] Matusita, Suzuki and Hudimoto have introduced a new concept of testing statistical hypotheses. The purpose of this paper is to improve the quality of their tests by strengthening some inequalities and using a better measure of distance between probability measures.…”

“…Further let (1) f_dP d2 dQ (2) g=d---2 denote the [2]-uniquely determined Radon-Nikodym-densities. Suppose E~I and te [0,1]. We define:…”

Choice of similarity measure, likelihood function and parameters for histogram based particle filter tracking in CCTV grey scale video

“…The Matusita distance between two probability distributions p = p 1 ; …; p n and q = q 1 ; …; q n is defined as [27] …”