the probability density functions fitting to the discrete probability functions has always been needed, and very important. this paper is fitting the continuous curves which are probability density functions to the binomial probability functions, negative binomial geometrics, poisson and hypergeometric. the main key in these fittings is the use of the derivative concept and common differential ...

In this paper, we extend recent work on the class of Bernstein–gamma functions to bivariate functions. more general setting, determine Stirling-type asymptotic bounds which generalise, improve upon, and streamline those found for univariate Then, demonstrate importance power these results through an application exponential functionals Lévy processes. For a subordinator (a non-decreasing process...

Censoring, 116 Coefficient concentration, 287 confidence, 173 uncertainty, 287 Competing risks, 371 Confidence interval, 13, 173 coverage probability, 173 unbiased, 96 uniformly most accurate, 96 Contingency tables, 274 Convergence almost certain, 120 almost sure, 120, 121 almost sure convergence of series, 164 complete, 120, 129 equivalent, 148 in distribution, 125 in law, 125 in probability, ...

We propose a novel lifetime model by extending the new exponential-gamma distribution to exponentiated distribution. This extension allows for derivation of more flexible density function that combines characteristics exponential and gamma distributions. present various statistical properties newly proposed method, including cumulative function, probability moment-generating moments. Additional...

We study the power of some exceedance rank tests against location shift and Lehman alternatives for distributions from the uniform, normal, exponential, gamma, and lognormal families. We give the corresponding power functions, obtained by Monte Carlo simulation and discuss the relative merits of the tests.

The consequences of Maternal Mortality (MM) cannot be overemphasized. It inhibits population growth resulting into loss of lives among others. This work tends to obtain the maternal mortality rates (MMR) in Nigeria, identify some fitted distributions to MMR and determine which of the distributions best fits the data. A comprehensive Exploratory Data Analysis (EDA) was carried on MM and the MMRs...

| In the class of hierarchical mixtures-of-experts (HME) models, \experts" in the exponential family with generalized linear mean functions of the form (+ x T) are mixed, according to a set of local weights called the \gating functions" depending on the predictor x. Here () is the inverse link function. We provide regularity conditions on the experts and on the gating functions under which the ...

 Minimax estimation problems with restricted parameter space reached increasing interest within the last two decades Some authors derived minimax and admissible estimators of bounded parameters under squared error loss and scale invariant squared error loss In some truncated estimation problems the most natural estimator to be considered is the truncated version of a classic...