Wszystkie pola: Rayleigh distribution - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Statistical Properties and Estimation of Power-Transmuted Inverse Rayleigh Distribution
Autorzy:: Hassan, Amal S.
Assar, Salwa M.
Abdelghaffar, Ahmed M.
Powiązania:: https://bibliotekanauki.pl/articles/1058930.pdf
Data publikacji:: 2020-09-04
Wydawca:: Główny Urząd Statystyczny
Tematy:: percentiles
Opis:: A three-parameter continuous distribution is constructed, using a power transformation related to the transmuted inverse Rayleigh (TIR) distribution. A comprehensive account of the statistical properties is provided, including the following: the quantile function, moments, incomplete moments, mean residual life function and Rényi entropy. Three classical procedures for estimating population parameters are analysed. A simulation study is provided to compare the performance of different estimates. Finally, a real data application is used to illustrate the usefulness of the recommended distribution in modelling real data.
Źródło:: Statistics in Transition new series; 2020, 21, 3; 93-107
1234-7655
Pojawia się w:: Statistics in Transition new series
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Statistical properties and different methods of estimation for extended weighted inverted Rayleigh distribution
Autorzy:: Yadav, Abhimanyu Singh
Singh, S. K.
Singh, Umesh
Powiązania:: https://bibliotekanauki.pl/articles/1363558.pdf
Data publikacji:: 2020-06-05
Wydawca:: Główny Urząd Statystyczny
Tematy:: moments and inverse moments
entropy measurements
order statistics
classical methods of estimation
Opis:: The aim of this paper is to introduce a new weighted probability distribution to model the non-monotone failure rate pattern for survival data. The proposed distribution is generalized by considering inverted Rayleigh distribution as a baseline distribution called an extended weighted inverted Rayleigh distribution. Different statistical properties such as moment, quantile function, moment generating function, entropy measurement, Bonferroni and Lorenz curve, stochastic ordering and order statistics have been derived. Different estimation procedures have also been discussed to estimate the unknown parameters of the proposed probability distribution. The Monte Carlo simulation study has been conducted to compare the performances of the proposed estimators obtained through various methods of estimation. Finally, two real data sets have been used to show the applicability of the proposed model in a real-life scenario.
Źródło:: Statistics in Transition new series; 2020, 21, 2; 119-141
1234-7655
Pojawia się w:: Statistics in Transition new series
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Bayesian estimation and prediction based on Rayleigh record data with applications
Autorzy:: Awwad, Raed R. Abu
Bdair, Omar M.
Abufoudeh, Ghassan K.
Powiązania:: https://bibliotekanauki.pl/articles/1827533.pdf
Data publikacji:: 2021-09-06
Wydawca:: Główny Urząd Statystyczny
Tematy:: Bayesian estimation and prediction
Rayleigh distribution
record values
Markov Chain Monte Carlo samples
Opis:: Based on a record sample from the Rayleigh model, we consider the problem of estimating the scale and location parameters of the model and predicting the future unobserved record data. Maximum likelihood and Bayesian approaches under different loss functions are used to estimate the model's parameters. The Gibbs sampler and Metropolis-Hastings methods are used within the Bayesian procedures to draw the Markov Chain Monte Carlo (MCMC) samples, used in turn to compute the Bayes estimator and the point predictors of the future record data. Monte Carlo simulations are performed to study the behaviour and to compare methods obtained in this way. Two examples of real data have been analyzed to illustrate the procedures developed here.
Źródło:: Statistics in Transition new series; 2021, 22, 3; 59-79
1234-7655
Pojawia się w:: Statistics in Transition new series
Dostawca treści:: Biblioteka Nauki

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