In the most recent era, extensions of probability models via trigonometry methods have received great attention. This paper also offers a novel trigonometric version Weibull model called type-I cosine exponentiated (for short "TICE-Weibull") distribution. The identifiability properties for all three parameters TICE-Weibull are derived. estimators derived by implementing maximum likelihood approach. To demonstrate effectiveness model, two applications from real-world phenomena analyzed....

In this paper, we introduce a new flexible generator of continuous distributions called the transmuted Burr X-G (TBX-G) family to extend and increase flexibility X generator. The general statistical properties TBX-G are calculated. One special sub-model, TBX-exponential distribution, is studied in detail. We discuss eight estimation approaches estimating parameters, numerical simulations conducted compare suggested based on partial overall ranks. Based our study, Anderson–Darling estimators...

Mahdavi A. and Kundu D. (2017) introduced a family for generating univariate distributions called the alpha power transformation. They studied as special case properties of transformed exponential distribution. We provide some mathematical this distribution define four-parameter lifetime model exponentiated Weibull It generalizes well-known models such exponential, Rayleigh, distributions. The importance new comes from its ability to monotone non-monotone failure rate functions, which are...

In this paper, a new two-parameter generalized Ramos–Louzada distribution is proposed. The proposed model provides more flexibility in modeling data with increasing, decreasing, J-shaped, and reversed-J shaped hazard rate functions. Several statistical properties of the were derived. unknown parameters explored using eight frequentist estimation approaches. These approaches are important for developing guidelines to choose best method parameters, which would be great interest practitioners...

A new family of distributions called type II exponentiated half logistic is introduced and studied.  Four special models are presented. Some mathematical properties the studied. Explicit expressions for moments, probability weighted quantile function, mean deviation, order statistics Renyi entropy investigated. Parameter estimation obtained based on maximum likelihood procedure. Two real data sets employed to show usefulness family.

The word extreme events refer to unnatural or undesirable events. Due the general destructive effects on society and scientific problems in various applied fields, study of is an important subject for researchers. Many real-life phenomena exhibit clusters observations that cannot be adequately predicted modeled by traditional distributions. Therefore, we need new flexible probability distributions are useful modeling extreme-value data fields such as financial sector, telecommunications,...

In this paper, a new probability distribution, which is synthesized based on the quasi xgamma[26] and geometric distributions, proposed studied. The distribution so basically family of positively skewed distributions possesses increasing decreasing hazard rate properties depending values unknown parameters. Different important distributional survival and/or reliability are also A unique characterization presented reversed rate. Seven different frequentist methods estimating parameters...

This paper investigates the estimation of three unknown parameters for [0, 1] Truncated Nadarajah Haghighi Rayleigh distribution, denoted as ([0, TNHR). It explores eight different methods, namely maximum likelihood, product spacing, Anderson-Darling, Right ordinary least squares, weighted Cramer-von Mises, and percentiles point estimation. Detailed analyses were conducted to compare effectiveness these estimators in terms bias mean squared errors through extensive simulation experiments....

We introduce a new class of continuous distributions called the generalized odd Lindley-G family. Four special models family are provided. Some explicit expressions for quantile and generating functions, ordinary incomplete moments, order statistics Rényi Shannon entropies derived. The maximum likelihood method is used estimating model parameters. flexibility generated illustrated by means two applications to real data sets.

It is proven evidently that probability distributions have a significant role in data modeling for decision-making. Due to the indispensable of applied fields, series been introduced and implemented. However, most newly developed involve between one eight additional parameters. Sometimes parameters lead re-parametrization problems. Therefore, development new without an interesting research topic. In this paper, we study probabilistic method incorporating any The proposed approach based on...

In this paper, we propose a useful method without adding any extra parameters to obtain new probability distributions. The proposed family is combination of the two existing families distributions and called weighted sine-G family. A two-parameter special member family, using Weibull distribution as baseline model, considered investigated in detail. Some distributional properties are derived. Different estimation methods estimate model Furthermore, simulation studies based on these different...

In this paper, the [0,1] truncated Nadarajah Haghighi- G family is introduced, and some of its statistical properties such as expansion PDF are derived. addition, quantile function, survival hazard rate reversed cumulative odd functions, rth moments, incomplete moment generating order statistic, moments Inequality measures, mean residual life entropy. The parameters were estimated by maximum likelihood method.

In this paper, a method for generating new family of univariate continuous distributions using the tangent function is proposed. Some general properties are discussed: hazard function, quantile Rényi and Shannon entropies, symmetry, existence non-central n^th moment. members as sub-families in T-X provided. Three defined five-parameter Normal-Generalized hyperbolic secant distribution (NGHS), Gumbel-Generalized (GGHS), six-parameter Generalized Error-Generalized (GEHS), shapes these were...

Theoretical and applied researchers have been frequently interested in proposing alternative skewed symmetric lifetime parametric models that provide greater flexibility modeling real-life data several sciences. To fill this gap, we introduce a three-parameter bounded model called the exponentiated new power function (E-NPF) distribution. Some of its mathematical reliability features are discussed. Furthermore, many possible shapes over certain choices parameters presented to understand...

In this work, a new flexible class, called the type-I extended- F family, is proposed. A special sub-model of proposed extended-Weibull (TIEx-W) distribution, explored in detail. Basic properties TIEx-W distribution are provided. The parameters obtained by eight classical methods estimation. performance these estimators using Monte Carlo simulation results for small and large samples. Besides, Bayesian estimation model under different loss functions real data set also importance flexibility...

A new family of distributions, called the Right truncated Xgamma-G, was developed. Explicit expressions for some its statistical properties including Renyi entropy, moments and generating functions, stress-strength reliability, Lorenz Benferroni curves were established. The model parameters estimated using maximum likelihood estimation method real-life application provided three datasets. It also demonstrated that Xgamma-G distributions fits datasets better than Kumaraswamy-G, Beta-G,...

In the present work, a class of distributions, called new extended family heavy-tailed distributions is introduced. The special sub-models introduced provide unimodal, bimodal, symmetric, and asymmetric density shapes. A sub-model family, Weibull (NEHTW) distribution, studied in more detail. NEHTW parameters have been estimated via eight classical estimation procedures. performance these methods explored using detailed simulation results which ordered, partial overall ranks, to determine...

We study a new continuous distribution called the Marshall-Olkin modified Burr III distribution. The density function of proposed model can be expressed as mixture densities. A comprehensive account its mathematical properties is derived. parameters are estimated by method maximum likelihood. usefulness derived illustrated over other distributions using real data set.

In this paper, a new three-parameter lifetime model called the Topp–Leone odd log-logistic exponential distribution is proposed. Its density function can be expressed as linear mixture of exponentiated densities and reversed-J shaped, skewed to left right. Further, hazard rate monotone, unimodal, constant, J-shaped, constant-increasing-decreasing decreasing-increasing-decreasing bathtub-shaped. Our main focus on estimation from frequentist point view, yet, some statistical reliability...

In this study, we propose a new zero‐inflated regression model as an alternative to models, such the Poisson, negative binomial, hurdle‐Poisson, and hurdle binomial models. regard, take benefit of flexibility Poisson–Bilal distribution some its notable properties. More concretely, it is employed baseline generate called Poisson‐Bilal model. It designed be good for modeling overdispersed data quite effectively. This aspect emphasized using two real‐world sets from medicine education fields....

In this investigation, the distribution of ratio two independently distributed xgamma (Sen et al. 2016) random variables X and Y , with different parameters, is proposed studied. The related distributional properties such as, moments, entropy measures, are investigated. We have also shown a unique characterization based on truncated incomplete moments.

The aim of this study is to develop new exponential weighted moving average control charts based on a flexible model. These created through least square and estimators the shape parameter Kumaraswamy Pareto distribution. Exponential are compared for checking performance charts. results were not only explored numerical values but also half dozen plots. plots exposed that chart estimator has better than other proposed chart. Some key findings discussed which obtained from comparative analysis...

In survey statistics, estimating and reducing population variation is crucial. These variations can occur in any sampling design, including stratified random sampling, where stratum weights may increase the variance of estimators. Calibration techniques, which use additional auxiliary information, help mitigate this issue. This paper examines three calibration-based estimators-calibration variance, calibration ratio, exponential ratio estimators-within framework sampling. The study generates...