A new four-parameter lifetime distribution called the beta binomial exponential 2 (BBE2) is proposed. Some mathematical features, including quantile function, moments, generating function and characteristic of BBE2 distribution, are computed. When life test truncated at a predetermined time, acceptance sampling plans (ASP) constructed for distribution. The truncation time supposed to represent ...

A new G family of probability distributions called the type I quasi Lambert is defined and applied for modeling real lifetime data. Some bivariate families using "Farlie-Gumbel-Morgenstern copula", "modified Farlie-Gumbel-Morgenstern "Clayton copula" "Renyi's entropy are derived. Three characterizations presented. its statistical properties derived studied. The maximum likelihood estimation, pr...

Plastic is a widely used material in daily life that has brought huge social benefits to society with the advantages of low-cost manufacturing and mildness. However, due their high resistance degradation diversity chemical components, plastics pose great threat human health living environment. Aiming address problem there lot plastic waste its impact on environment, this paper puts forward an e...

The aim of this study was to investigate the influence of interdental spacing on the performance of proximal caries detection methods in primary molars. In addition, aspects related to temporary tooth separation with orthodontic separators were evaluated. The proximal spaces between the posterior primary teeth (n = 344) of 76 children (4-12 years old) were evaluated before and after temporary s...

The unit exponentiated half logistic power series (UEHLPS), a family of compound distributions with bounded support, is introduced in this study. This produced by compounding the and distributions. In UEHLPS class, some interesting can be found. We find formulas for moments, density distribution functions, limiting behavior, other properties. Five well-known estimating approaches are used to es...

Abstract The exponentiated Burr Type XII (EBXII) distribution has wide applications in reliability and economic studies. In this article, the estimation of probability density function cumulative EBXII is considered. We examine maximum likelihood estimator, uniformly minimum variance unbiased least squares weighted product spacing Cramér–von-Mises Anderson–Darling estimator. derive analytical f...

This manuscript focuses on the statistical inference of Kavya–Manoharan generalized exponential distribution under type-I progressive hybrid censoring sample (GTI-PHCS). Different classical approaches estimation, such as maximum likelihood, product spacing, least squares (LS), weighted LS, and percentiles GTI-PHCS, are investigated. Based squared error linear loss functions, Bayes estimates for...

The inverse Lomax distribution has been extensively used in many disciplines, including stochastic modelling, economics, actuarial sciences, and life testing. It is among the most recognizable lifetime models. purpose of this research to look into a new important aspect distribution: calculation fuzzy stress-strength reliability parameter RF = P(Y < X), as?suming X Y are random independent v...