Temat: likelihood estimation - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Generalised Odd Frechet Family of Distributions: Properties and Applications
Autorzy:: Marganpoor, Shahdie
Ranjbar, Vahid
Alizadeh, Morad
Abdollahnezhad, Kamel
Powiązania:: https://bibliotekanauki.pl/articles/1058928.pdf
Data publikacji:: 2020-09-04
Wydawca:: Główny Urząd Statystyczny
Tematy:: Frechet distribution
Wiebull distribution
structural properties
failure-time
maximum likelihood estimation
Opis:: A new distribution called Generalized Odd Fréchet (GOF) distribution is presented and its properties explored. Some structural properties of the proposed distribution, including the shapes of the hazard rate function, moments, conditional moments, moment generating function, skewness, and kurtosis are presented. Mean deviations, Lorenz and Bonferroni curves, Rényi entropy, and the distribution of order statistics are given. The maximum likelihood estimation technique is used to estimate the model parameters, and finally applications of the model to a real data set are presented to illustrate the usefulness of the proposed distribution.
Źródło:: Statistics in Transition new series; 2020, 21, 3; 109-128
1234-7655
Pojawia się w:: Statistics in Transition new series
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Analysis of COVID-19 and cancer data using new half-logistic generated family of distributions
Autorzy:: Khan, Sadaf
Tahir, Muhammad H.
Jamal, Farrukh
Powiązania:: https://bibliotekanauki.pl/articles/29127967.pdf
Data publikacji:: 2023
Wydawca:: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:: half-logistic distribution
generalized family
likelihood estimation
bio-medical data
Frechet distribution
Opis:: We focus on a specific sub-model of the proposed family that we call the new half logistic-Fréchet. This sub-model stems from a new generalisation of the half-logistic distribution which we call the new half-logistic-G. The novelty of proposing this new family is that it does not include any additional parameters and instead relies on the baseline parameter. Standard statistical formulas are used to show the forms of the density and failure rate functions, ordinary and incomplete moments with generating functions, and random variate generation. The maximum likelihood estimation procedure is used to estimate the set of parameters. We conduct a simulation analysis to ensure that our calculations are converging with lower mean square error and biases. We use three real-life data sets to equate our model to well-established existing models. The proposed model outperforms the well-established four parameters beta Fréchet and exponentiated generalized Fréchet for some real- -life results, with three parameters such as half-logistic Fréchet, exponentiated Fréchet, Zografos–Balakrishnan gamma Fréchet, Topp–Leonne Fréchet, and Marshall–Olkin Fréchet and two-parameter classical Fréchet distribution.
Źródło:: Operations Research and Decisions; 2023, 33, 4; 71--95
2081-8858
2391-6060
Pojawia się w:: Operations Research and Decisions
Dostawca treści:: Biblioteka Nauki

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