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Bayesian and Frequentist Two-Sample Predictions of the Inverse Weibull Model Based on Generalized Order Statistics

Abd Ellah, A. H. (2011)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 62E16,62F15, 62H12, 62M20.This paper is concerned with the problem of deriving Bayesian prediction bounds for the future observations (two-sample prediction) from the inverse Weibull distribution based on generalized order statistics (GOS). Study the two side interval Bayesian prediction, point prediction under symmetric and asymmetric loss functions and the maximum likelihood (ML) prediction using "plug-in" procedure for future observations from the inverse...

Bayesian MCMC estimation of the rose of directions

Michaela Prokešová (2003)

Kybernetika

The paper concerns estimation of the rose of directions of a stationary fibre process in R 3 from the intersection counts of the process with test planes. A new approach is suggested based on Bayesian statistical techniques. The method is derived from the special case of a Poisson line process however the estimator is shown to be consistent generally. Markov chain Monte Carlo (MCMC) algorithms are used for the approximation of the posterior distribution. Uniform ergodicity of the algorithms used is...

Bayesian Prediction of Weibull Distribution Based on Fixed and Random Sample Size

Ellah, A. H. Abd (2009)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 62E16, 65C05, 65C20.We consider the problem of predictive interval for future observations from Weibull distribution. We consider two cases they are: (i) fixed sample size (FSS), (ii) random sample size (RSS). Further, we derive the predictive function for both FSS and RSS in closed forms. Next, the upper and lower 1%, 2.5%, 5% and 10% critical points for the predictive functions are calculated. To show the usefulness of our results, we present some simulation...

Behavior of the Euler scheme with decreasing step in a degenerate situation

Vincent Lemaire (2007)

ESAIM: Probability and Statistics

The aim of this short note is to study the behavior of the weighted empirical measures of the decreasing step Euler scheme of a one-dimensional diffusion process having multiple invariant measures. This situation can occur when the drift and the diffusion coefficient are vanish simultaneously.

Behaviour of the support of the solution appearing in some nonlinear diffusion equation with absorption

Tomoeda, Kenji (2017)

Proceedings of Equadiff 14

Numerical experiments suggest interesting properties in the several fields of fluid dynamics, plasma physics and population dynamics. Among such properties, we may observe the interesting phenomena; that is, the repeated appearance and disappearance phenomena of the region penetrated by the fluid in the flow through a porous media with absorption. The model equation in two dimensional space is written in the form of the initial-boundary value problem for a nonlinear diffusion equation with the effect...

Beitrag zu mehrparametrigen Iterationsverfahren

Miroslav Šisler (1982)

Aplikace matematiky

In der Arbeit wird ein gewisses von drei Parametern abhängiges Iterationsverfahren für ein lineares algebraisches Gleichungssystem von der Form x = B x + b mit schwach 2-zyklischer Blockmatrix B untersucht. Es werden verschiedene Varianten dieses Verfahrens studiert. Die Konvergenzgeschwindigkeit wird mit der Konvergenzgeschwindigkeit üblicher Iterationsverfahren verglichen.

Beitrag zu mehrparametrigen Iterationsverfahren für spezielle lineare Gleichungssysteme

Miroslav Šisler (1989)

Aplikace matematiky

Die Arbeit befasst sich mit der Anwendung eines gewissen mehrparametrigen Iterationsverfahrens bei der Lösung des linearen Gleichungsystems der Form x = B x + b , wo B eine gewisse, eine grosse Anzahl von Nullelementen enthaltende. Matrix bezeichnet und irgendeine von der Hauptuntermatrizen der Matrix B leicht invertierbar ist. Das, in der Arbeit vorgeschlagende Iterationsverfahren stellt eine Kombination des iterativen und direkten Verfahrens dar.

BEM and FEM results of displacements in a poroelastic column

Bettina Albers, Stavros A. Savidis, H. Ercan Taşan, Otto von Estorff, Malte Gehlken (2012)

International Journal of Applied Mathematics and Computer Science

The dynamical investigation of two-component poroelastic media is important for practical applications. Analytic solution methods are often not available since they are too complicated for the complex governing sets of equations. For this reason, often some existing numerical methods are used. In this work results obtained with the finite element method are opposed to those obtained by Schanz using the boundary element method. Not only the influence of the number of elements and time steps on the...

Bemerkungen zum Verfahren der koordinatenweisen Suche

Dieter Oelschlägel, Herbert Süsse (1981)

Aplikace matematiky

In der vorliegenden Arbeit wird das Verfahren der koordinatenweisen Suche mit Hilfe der Intervallarithmetik realisiert. Dadurch ist es möglich, bei speziellen nichtlinearen Optimierungsproblemen alle auftretenden Fehlerarten zu erfaßen, einschliesslich eingangsbedingter Fehler. Vor- und Nachteile werden erläutert sowie Testbeispiele angegeben.

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