Tables of Factors for One-Sided Tolerance Limits for a Normal Distribution

Two-Sided Tolerance Interval for Exponential Distribution Based on Records

Tolerance interval is a random interval that contains a proportion of the population with a determined confidence level and is applied in many application fields such as reliability and quality control. In this paper, based on record data, we obtain a two-sided tolerance interval for the exponential population. An example of real record data is presented. Finally, we discuss the accuracy of ...

ON THE POWER FUNCTION OF THE LRT AGAINST ONE-SIDED AND TWO-SIDED ALTERNATIVES IN BIVARIATE NORMAL DISTRIBUTION

This paper addresses the problem of testing simple hypotheses about the mean of a bivariate normal distribution with identity covariance matrix against restricted alternatives. The LRTs and their power functions for such types of hypotheses are derived. Furthermore, through some elementary calculus, it is shown that the power function of the LRT satisfies certain monotonicity and symmetry p...

Screening for a Multivariate Mixture Normal Distribution

A geometric one-sided inequality for zero-viscosity limits

The Oleinik inequality for conservation laws and AronsonBenilan type inequalities for porous medium or p-Laplacian equations are one-sided inequalities that provide the fundamental features of the solution such as the uniqueness and sharp regularity. In this paper such one-sided inequalities are unified and generalized for a wide class of first and second order equations in the form of ut = σ(t...

“One-Sided” Log-Normal Distribution of Conductances for a Disordered Quantum Wire

We develop a simple systematic method, valid for all strengths of disorder, to obtain analytically the full distribution of the conductance P g for a quasi-one-dimensional wire in the absence of electronelectron interactions. We show that in the crossover region between the metallic and insulating regimes P g is highly asymmetric, given by an essentially “one-sided” log-normal distribution. For...