In this article, we introduce a new extended cosine family of distributions. Some important mathematical and statistical properties are studied, including asymptotic results, quantile function, series representation the cumulative distribution probability density functions, moments, moments residual life, reliability parameter, order statistics. Three special members proposed discussed, namely, Weibull, power, generalized half-logistic Maximum likelihood, least-square, percentile, Bayes...

Bathtub failure rate (BFR) and roller-coaster (RCFR - a sequence of BFR inverted (IBFR)) shapes are among the non-monotone function (FRF) behaviors often observed in complex or competing risks (CR) datasets. Recent studies have introduced varied bathtub models for reliability modeling such However, limited attention is paid to study CR datasets characterized by RCFR. Motivated this drawback, paper proposes so-called Bi-Failure Modes (BFM) model robust analysis data exhibiting BFR, RCFR,...

This study proposes a generalized family of distributions to enhance flexibility in modeling complex engineering and biomedical data. The framework unifies existing models improves reliability analysis both applications by capturing diverse system behaviors. We introduce novel hybrid that incorporates flexible set functions, enabling the extension various distributions. Specifically, we present three-parameter special member called hybrid-Weibull–exponential (HWE) distribution. derive...

In this article, we propose the exponentiated sine-generated family of distributions. Some important properties are demonstrated, such as series representation probability density function, quantile moments, stress-strength reliability, and Rényi entropy. A particular member, called sine Weibull distribution, is highlighted; analyze its skewness kurtosis, residual mean reversed life functions, order statistics, extreme value Maximum likelihood estimation Bayes under square error loss...

In this paper, we introduced a new three-parameter probability model called Poisson generalized half logistic (PoiGHL). The possesses an increasing, decreasing, unimodal and bathtub failure rates depending on the parameters. relationship of PoiGHL with exponentiated Weibull (EWP), Erlang-truncated exponential (PEETE), Gompertz (PGG) is discussed. We also characterized sub model, i.e (HLP), based certain functions random variable by truncated moments. Several mathematical statistical...

In this paper, we develop the new extended Kumaraswamy generated (NEKwG) family of distributions. It aims to improve modeling capability standard by using a one-parameter exponential-logarithmic transformation. Mathematical developments NEKwG are provided, such as probability density function series representation, moments, information measure, and order statistics, along with asymptotic distribution results. Two special distributions highlighted discussed, namely, uniform (NEKwU)...

This article introduces a new flexible four parameter distribution by convolution of the exponential and Weibull using odd function transformation, which offers greater flexibility in terms fit, its called modified exponential-Weibull (MEW). The MEW model is designed to provide more accurate description failure time data resulting from system with one or modes characterized hazard rate (HR) that takes shape bathtub due complexity. moments properties, quantile function, residual life are...

In this paper, we introduce a new family of distributions called the Poisson-odd generalized exponential distribution (POGE). Various properties model are derived and studied. The has odd as its limiting distribution. We present study two special cases POGE distributions, namely Poisson exponential-half logistic exponential-uniform distributions. Estimation inference procedure for parameters discussed by method maximum likelihood; also evaluate proposed estimation simulation studies....

A new three-parameter distribution called the type I half-logistic Nadarajah-Haghighi (T IHL N H ) is proposed. We discussed some important mathematical and statistical properties of model such as an explicit form its r th moment, mean deviations,quantile function, Bonferroni Lorenz curves. The Shannon entropy Renyi are computed, expression for Kullback-Leibler divergence measure provided. parameters estimation was approached by maximum likelihoodestimation (MLE), information matrix...

ABSTRACTThis article proposes a flexible additive model that adequately describes complex reliability and survival data. The proposed methodology, referred to as the exponential power-Gompertz (FEPG4) distribution, is able characterize behavior of system whose failure times have bathtub-shaped, with clear burn-in wear-out change points low, yet lengthy, flat middle segment its underlying rate distribution. We discuss some properties model. Parameter inferences are under maximum likelihood...

In this article, we proposed a new three-parameter distribution called generalized half-logistic Poisson with failure rate function that can be increasing, decreasing or upside-down bathtub-shaped depending on its parameters. The model extends the and has exponentiated as limiting distribution. A comprehensive mathematical statistical treatment of is provided. We provide an explicit expression for rth moment, moment generating function, Shannon entropy Rényi entropy. parameter estimation was...

We propose a new model with flexible failure rate called complementary Poisson generalized half logistic (CPGHL). Various properties of the are explored and examine numerically such as explicit expressions moments, mean deviations, Bonferroni Lorenz curves, Shannon Renyi entropy. The distribution mixture two CPGHL some related models based on log-transform discussed. asymptotic moments residual life order statistics obtained. characterization (PHL) by truncated certain function random...