arXiv subjects

Caner Tanış

Publications and source records attributed to Caner Tanış.

4 recordsLinked to original sources

arXiv2026

Cubic lower record-based transmuted family of distributions: Theory, Estimation, Applications

In this study, a family of distributions called cubic lower record-based transmuted is provided. A special case of this family is proposed as an alternative exponential distribution. Several statistical properties are explored. We utilize nine different methods to estimate the parameters of the suggested distribution. In order to compare the performances of these methods, we consider a comprehensive Monte-Carlo simulation study. As a result of simulation study, we conclude that minimum absolute distance estimator is a valuable alternative to maximum likelihood estimator. Then, we carried out two real-world data examples to evaluate the fits of introduced distribution as well as its potential competitor ones. The findings of real-world data analysis show that the best-fitting distribution for both datasets is our model.

stat.ME↗

arXiv2025

Almost Unbiased Liu Type Estimator in Bell Regression Model: Theory, Simulation and Application

In this paper, we gain the new almost unbiased Liu-type estimators to literature for the Bell regression model. We provide the superiority of the proposed estimator to its competitors such as the maximum likelihood estimator and Liu-type estimators via some theorems. We also design an extensive Monte Carlo simulation study to show that the proposed estimators outperforms the competitors in terms of mean squared error theoretically. Finally, we present a real data study to assess the performance of the introduced estimators in modeling real-life data. The findings of both the simulation and the empirical study demonstrate that the proposed regression estimators surpasses its competitors based on the mean square error criterion.

math.ST↗

arXiv2025

Computational Study of New Record-Based Transmuted Chen Distribution and Its Applications to the Failure Time and Iron Sheet Data

This study is considered to introduce a novel distribution as an alternative to Chen distribution via the record-based transmutation method. This technique is based on the distributions of first two upper record values. Thus, we suggest a new special case based on Chen distribution in the family of record based transmuted distributions. We explore various distributional properties of the proposed model namely, quantile function, hazard function, median, moments, and stochastic ordering. Our distribution has three parameters and to estimate these parameters, we utilize nine different and well-known estimators. Then, we compare the performances of these estimators via a comprehensive simulation study. Also, we provide two real-world data examples to assess the fits the data sets the suggested model and its some competitors.

stat.ME↗

arXiv2025

Record-based transmuted log-logistic distribution: Properties, simulation, and applications to petroleum rock and reactor pump data

This study aims to introduce a new lifetime distribution, called the record-based transformed log-logistic distribution, to the literature. We obtain this distribution using a record-based transformation map based on the distributions of upper record values. We explore some mathematical properties of the suggested distribution, namely the quantile function, hazard function, moments, order statistics, and stochastic ordering. We discuss the point estimation via seven different methods such as maximum likelihood, least squares, weighted least squares, Anderson-Darling, Cramer-von Mises, maximum product spacings, and right tail Anderson Darling. Then, we perform a Monte Carlo simulation study to evaluate the performances of these estimators. Also, we present two practical data examples, reactor pump failure and petroleum rock data to compare the fits of the proposed distribution with its rivals. As a result of data analysis, we conclude that the best-fitted distribution is the record-based transmuted log-logistic distribution for reactor pump failure and petroleum rock data sets.

stat.ME↗