This paper presents a novel probability distribution, namely the XLindley derived from unique combination of exponential and gamma distributions through special mixture formulation. The study extensively investigates mathematical properties proposed including but not limited to moment generation function, moments different orders, mode identification, quantile function. Furthermore, research employs Monte Carlo simulation assess compare performance various estimators in estimating unknown...

A new generalized Lindley distribution, based on weighted mixture of two gamma distributions, is proposed. This model includes the Lindley, and exponential distributions as other forms special cases. distribution with consecutive shape parameter investigated in some details. Statistical reliability properties this are derived. The size-biased, length-biased Lorenze curve established. Estimation underlying parameters via moment method maximum likelihood has been their values simulated....

This manuscript develops few efficient difference and ratio kinds of imputations to handle the situation missing observations given that these are polluted by measurement errors (ME). The mean square developed studied primary degree approximation adopting Taylor series expansion. proposed equated with latest existing presented in literature. execution is assessed utilizing a broad empirical study some real hypothetically created populations. Appropriate remarks made for sampling respondents...

Obesity is a significant public health challenge in the Kingdom of Saudi Arabia (KSA), with profound impacts on individual well-being and healthcare system. Recent epidemiological studies have reported variable trends obesity prevalence within country. This population-based study aimed to estimate prevalence, identify behavioral risk factors, assess comorbidities associated overweight using nationally representative sample KSA. Findings will inform targeted policies, optimize resource...

Zero-inflated Poisson (ZIP) model is widely used for counting data with excessive zeroes. The multicollinearity the common factor in explanatory variables of count data. In this context, typically, maximum likelihood estimation (MLE) generates unsatisfactory results due to inflation mean square error (MSE). solution problem usually, ridge parameters are used. study, we proposed a new modified zero-inflated regression reduce multicollinearity. We experimented within context specified...

In this paper, a new flexible two-parameter family of distributions is introduced. Some mathematical properties, such as asymptotic behavior, moments, stochastic order, entropy, and quantile function, are examined. A special case introduced called Gemeay–Zeghdoudi distribution. The unknown parameters the distribution estimated via many estimators. efficiency estimators compared with Monte Carlo simulation. applicability illustrated by annual maximum flood survival times patients breast...

We present a composite index that measures the participation of Saudi women in national development through certain broad dimensions measurements, to be employed on Arabian datasets. In terms method and technique, consists 5 pillars from selected weighted variables chosen by experts, order provide well representative local priorities needs. Construction goes stages, such as data allocation, surveys, normalizing, weight assignment, focus groups, pilot testing, finally measurement its...

A general version of the inverted exponential distribution is introduced, studied and analyzed. This generalization depends on method Marshall-Olkin to extend a family distributions. Some statistical reliability properties this are studied. In addition, numerical estimation maximum likelihood estimate (MLE) parameters discussed in details. As an application, some real data sets analyzed it observed that presented provides better fit than other known

In this research, we present a new distribution, which is the bivariate alpha power Burr-XII based on distribution. We thoroughly examine key features of our newly developed model. introduce class models, are built with copula function. The statistical properties proposed such as conditional distributions, expectations, marginal moment-generating functions, and product moments were studied. This was accomplished two datasets real data that came from distinct devices. employed Bayesian,...

The purpose of this paper is to provide further study the Marshall–Olkin log-logistic model that was first described by Gui (Appl Math Sci 7:3947–3961, 2013). This both useful and practical in areas such as reliability life testing. Some statistical properties are presented including moments, reversed hazard rate mean residual functions, among others. Maximum likelihood estimation parameters discussed. Finally, a real data set analyzed it observed provides better fit than model.

A new scale-invariant extension of the Lindley distribution and its power generalization has been introduced. The moments moment-generating functions proposed models have closed forms. failure rate, mean residual life, <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>α</mi> </math> -quantile life explored. rate function these accommodates increasing, bathtub-shaped, increasing then bathtub-shaped parameters estimated by maximum likelihood method for complete right-censored data....

This paper introduces a new probability model that is the modified generalized inverted exponential distribution.This generalization of well-known distribution as special case.Statistical and reliability properties version are derived.Shapes for density function, function failure rate shown with graphical illustration.The truncated studied in details.Further, estimation by method maximum likelihood discussed through numerical simulation.Finally, real data set used where proposed fits better...

The joint censoring technique is a practical and valuable approach for comparing the life tests of items from different units within single facility. In this study, Progressive Type-II scheme was utilized to calculate point interval estimates three-parameter Burr-XII distribution. Several methodologies, including maximum likelihood, Bayes, parametric bootstrap, were employed estimate two distribution parameters. study also obtained approximate confidence intervals, four bootstrap credible...

Zero- inflated Poisson model is widely used for count data with the excessive zeroes. The multicollinearity common factor in explanatory variables of data. In this context, typically maximum likelihood estimation (MLE) generates unsatisfactory results due to inflation mean square error (MSE). solution problem usually ridge parameter are used. study we proposed new modified zero-inflated regression reduce multicollinearity. We conduct experiment context specified simulation strategy and...