In real-world transactions, counting data plays a crucial role. To gain deeper understanding of this and extract important information, statistical analysis, modeling are necessary. This paper introduces the Poisson quasi-XLindley distribution, novel two-parameter discrete distribution. Various mathematical characteristics model investigated, including mode, survival, hazard functions, shape probability mass function failure rate (hazard function), moments, dispersion behavior, order...

In this study, a new one-parameter count distribution is proposed by combining Poisson and XLindley distributions. Some of its statistical reliability properties including order statistics, hazard rate function, reversed mode, factorial moments, probability generating moment index dispersion, Shannon entropy, Mills ratio, mean residual life associated measures are investigated. All these can be expressed in explicit forms. It found that the mass function utilized to model positively skewed...

In this paper, we propose exponentiated XLindley (EXL) distribution. The novel model is adaptable due to the mixt shapes of its density and failure rate functions. following key statistical properties EXL distribution are derived: quantile function, moments, hazard mean residual life, Rényi entropy. parameters estimated using maximum likelihood, Anderson Darling, Cramer von Misses, product spacing, ordinary weighted least square estimation procedures. To examine behavior estimate, Monte...

A new, more flexible model, the power quasi-Xgamma (PQXg) distribution, is introduced by adding an extra shape parameter using transformation approach. The PQXg distribution due to its variable failure rate shapes. We derived various theoretical properties including moments and associated measures. Some reliability measurements include survival function, hazard rate, mean residual life, Rényi Tsallis entropy, stress-strength reliability. Five approaches are used for estimation: maximum...

A generalization of the length-biased exponential distribution called Marshall-Olkin is proposed in present paper. Statistical properties model are discussed. The parameters estimated by maximum likelihood estimation method. performance estimates investigated means a Monte Carlo simulation study. appropriateness validated empirically utilizing real life data set.

Accurate collection of wind speed records is significant for numerous power applications. The present investigation aims to highlight the use Marshall–Olkin Power Lomax (MOPLx) distribution data. We examine actual gathered from three stations Bahawalpur, Gwadar, and Haripur. dataset demonstrated by using MOPLx compare its modeling performance with renowned probability distributions, example, Weibull–Lomax, Lomax, Weibull, Lindley, Lomax. Findings indicate that gives best fitting as per model...

A new class of continuous distributions with two extra shape parameters is introduced named the generalized odd Burr III (GOBIII) family distributions. The expression density can be written as a linear combination exponentiated densities related to baseline model. basic properties such ordinary moments, quantile and generating functions, entropy measures order statistics are derived. Three special models proposed presented. Characterizations truncated moments hazard function for GOBIII-G...

In this paper, a new three-parameter lifetime distribution, alpha power transformed inverse Lomax (APTIL) is proposed. The APTIL distribution more flexible than distribution. We derived some mathematical properties including moments, moment generating function, quantile mode, stress strength reliability, and order statistics. Characterization related to hazard rate function also derived. model parameters are estimated using eight estimation methods maximum likelihood, least squares, weighted...

<abstract> <p>The Weibull distribution has always been important in numerous areas because of its vast variety applications. In this paper, basic properties the neutrosophic are derived. The effect indeterminacy is studied on parameter estimation. application will be discussed with help two real-life datasets. From analysis, it can seen that model adequate, reasonable, and effective to apply an uncertain environment.</p> </abstract>

This paper focuses on the derivation of a new two-parameter discrete probability distribution. The model is derived by mixing Poisson and Loai distributions named "Poisson Distribution". explores various mathematical properties model, introducing count-regression based this parameters are estimated using maximum likelihood estimation method. A comprehensive simulation study utilized to assess behavior estimators. importance proposed distribution confirmed through analysis three real...

A new three parametric distribution is proposed and analyzed, termed as the Marshall-Olkin extended inverted Kumaraswamy (MOEIK) distribution. This generalization has some renowned sub models such Beta type II, Lomax Fisk distribution, stated in literature. Study includes basic properties of observed probabilistic model. Explicit expressions for major mathematical this quantile function, complete incomplete moments, entropies moments order statistic are derived. Maximum likelihood estimation...

In this study, a discrete inverted Topp-Leone (DITL) distribution is proposed by utilizing the survival discretization approach. The distribution's mathematical features were derived. maximum likelihood (ML), method of least squares (LS), weighted (WLS), and Cramer Von-Mises (CVM) estimation techniques used to estimate parameter. theoretical results ML, LS, WLS, CVM estimators demonstrated via comprehensive simulation study. DITL has been applied analyze two count data sets number deaths due...

<abstract> <p>In this paper, a flexible probability mass function is proposed for modeling count data, especially, asymmetric, and over-dispersed observations. Some of its distributional properties are investigated. It found that all statistical can be expressed in explicit forms which makes the model useful time series regression analysis. Different estimation approaches including maximum likelihood, moments, least squares, Andersonӳ-Darling, Cramer von-Mises, product spacing...

Several research investigations have stressed the importance of discrete data analysis and its relevance to actual events. The current work focuses on a new distribution with single parameter that can be derived using Poisson mixing technique. is named Entropy-Based Weighted Exponential Distribution. It useful for discussing asymmetric “right-skewed” “heavy” tails. Its failure rate function used explain situations increasing rates. statistical properties are expressed explicitly. proposed...