<p>This article presents the notion of continuous case weighted Tsallis extropy function as an information measure that follows framework distribution. We introduce this concept from two perspectives, depending on and entropy. Various examples to illustrate perspectives by examining a few its characteristics are presented. Some features stochastic orders those measures, including maximum value, introduced. An alternative depiction proposed models concerning hazard rate is provided....

We introduced a brand-new member of the family that is going to be referred as New Power Topp-Leone Generated (NPTL-G). This new one kind. Given major functions created this member, important mathematical aspects are discussed in much detail possible. derived some for one, included Rényi entropy, qf, series development, and moment weighted probabilities. Moreover, estimate values parameters our model were not known, we employed maximum likelihood technique. In addition, two actual datasets...

This paper addresses some classes of combined and separate imputation methods (CSIMs) the population mean under stratified simple random sampling (SSRS) along with their characteristics. To best our knowledge, these (IMs) have yet not been studied by any author SSRS, hence IMs are called 'novel'. In addition, existing CSIMs distinguished as members suggested CSIMs, respectively. The theoretical conditions which proposed perform better obtained comparing IMs. validate findings, numerical...

The extended reduced Kies distribution (ExRKD), which is an asymmetric flexible extension of the distribution, subject this research. Some its most basic mathematical properties are deduced from formal definitions. We computed ExRKD parameters using eight well‐known methods. A full simulation analysis was done that allows study these estimators’ asymptotic behavior. efficiency and applicability investigated via modeling COVID‐19 milk data sets, demonstrates delivers a better match to sets...

Big data is a collection of complex and large volumes that not easily handled by the traditional process. The top ten big science communities include Kaggle, IBM community, Reddit, open science, central, community DC, stack overflow, quest, society, driven data. Among online communities, Reddit promising platform connects millions people to each other. It fruitful offers business firms reach maximum audience. In this paper, we introduce new extended form generalized Rayleigh distribution...

<abstract><p>The modern trend in distribution theory is to propose hybrid generators and generalized families using existing algebraic along with some trigonometric functions offer unique, more flexible, efficient, highly productive G-distributions deal new data sets emerging different fields of applied research. This article aims originate an odd sine generator distributions construct a G-family called "The Odd Lomax Trigonometric Generalized Family Distributions". The...

This paper addresses asymmetric flexible two-parameter exponential model called the weighted (WDEx) distribution. Some of its basic mathematical features are evaluated. Its hazard rate accommodates upside-down bathtub, decreasing, decreasing-constant, increasing, and increasing-constant shapes. Five actuarial indicators studied. We utilize nine classical Bayesian approaches estimation for estimating WDEx parameters. provide a detailed simulation study to explore assess asymptotic behaviors...

In this paper, we introduce a new statistical methodology for updating the flexibility level of traditional distributions. The newly developed method is called, logarithmic-U family For distributions, estimation parameters via maximum likelihood discussed. Some mathematical properties distributions are also derived. By using method, an updated version Weibull model, namely, logarithmic distribution introduced. A simulation study provided. Finally, practical illustration shown by analyzing...

During the course of this research, we came up with a brand new distribution that is superior; then presented and analysed mathematical properties distribution; finally, assessed its fuzzy reliability function. Because novel provides number advantages, like reality cumulative function probability density both have closed form, it very useful in wide range disciplines are related to data science. One these fields machine learning, which sub field We used traditional methods Bayesian...

Statistical methodologies have a wider range of practical applications in every applied sector including education, reliability, management, hydrology, and healthcare sciences. Among the mentioned sectors, implementation statistical models health sectors is very crucial. In recent era, researchers shown deep interest using trigonometric function to develop new methodologies. this article, we propose methodology function, namely, sine-G family distribution. A subcase (special member) method...

Abstract Wasting is one of the symptoms malnutrition that has been connected to deaths malnourished children. This study was intended explain effect socio‐demographic and economic factors on under‐5 wasting by evaluating their conditional across distribution weight‐for‐height Z (WHZ) scores using quantile regression (QR) model. The weighted sample which included 13,680 children under 5 years taken from countrywide Egyptian DHS 2014 survey. results depicted about 2% were severely wasted, with...

This paper proposes a new family of estimators for population mean with non-response using simple random sampling. It specifically applies this method to estimate the in Turkey's Education sector data sets, accounting non-response. The study integrates additional information form and cdf auxiliary variable which is highly positively correlated develop general class tailored sampling scheme. Through numerical research, characteristics these – namely, their biases square errors have been...

The X-Gamma Lomax (XGLo) distribution, a new three-parameter modification of the was introduced and examined in this study. This distribution's features for reliability hazard rate are addressed. methods estimating XGLo distribution parameters using maximum likelihood estimation (MLE) product spacing (MPS) explained. To compare MLE MPS estimate approaches, numerical investigation is conducted Monte-Carlo simulation. Three real data sets as cancer includes failure rates weeks, 109 days...

The two-parameter classical Weibull distribution is commonly implemented to cater for the product's reliability, model failure rates, analyze lifetime phenomena, etc. In this work, we study a novel version of analyzing real-life events in sports and medical sectors. newly derived model, namely, new cosine-Weibull (NC-Weibull) distribution. importance research that it suggests without adding any additional parameters. Different distributional properties NC-Weibull are obtained. maximum...

Streamflow prediction is vital to control the effects of floods and mitigation. Physical model often provides satisfactory results, but these models require massive computational work hydrogeomorphological variables develop a system. At same time, data-driven are quick apply, easy handle, reliable. This study investigates new hybrid model, wavelet bootstrap quadratic response surface, for accurate streamflow prediction. Wavelet analysis well-known time-frequency joint technique applied in...

The Lomax model, also known as Pareto Type-II, has broad feasibility, especially in financing. This work introduces a new generalization of the model called arc-sine exponentiation Lomax, which helps consider economic phenomena. distribution captures variety shapes density and hazard functions. estimators proposed model's parameters are derived using maximum likelihood method. In simulation study, accuracy efficacy evaluated by computing their mean square errors biases. Furthermore,...

<abstract> <p>In real-life experiments, collecting complete data is time-, finance-, and resources-consuming as stated by statisticians analysts. Their goal was to compromise between the total time of testing, number units under scrutiny, expenditures paid through a censoring scheme. Comparing failure-censored schemes (<italic>Type</italic>-Ⅱ Progressive <italic>Type</italic>-Ⅱ) Time-censored (<italic>Type</italic>-Ⅰ), it's worth noting that...

The objective of this study is to construct a new distribution known as the weighted Burr–Hatke (WBHD). PDF and CDF WBHD are derived in closed form. Moments, incomplete moments, quantile function proposed mathematically. Eleven estimate techniques for estimating parameters discussed, numerical simulations utilised evaluate various approaches using partial overall rankings. According findings study, it recommended that maximum product spacing (MPSE) estimator best according rank table....

It is essential to use compound families in statistical modeling for asymmetric-positive-skewed reliability and relief real-life data a number of reasons, including the capacity capture underlying patterns characteristics more accurately. The current work introduces novel continuous G family probability distributions characterized by two parameters, denoted as compounded two-parameters general Rayleigh geometric probabilistic distributions. research involves rigorous calculations ascertain...

In the real life, there exists limited information or uncertainty in knowledge about failure and repair rates which follow one of standard distributions as exponential distribution Weibull with some parameters. We suppose that these parameters are fuzzy allow to specify a system design for “worst-case scenario.” this paper, availability reliability redundant repairable parallel k-out-of-n warm standby common-cause evaluated. assume time each operating unit follows two any failed parameter....

Probability distributions play an essential role in modeling and predicting biomedical datasets. To have the best description accurate prediction of datasets, numerous probability been introduced implemented. We investigate a novel family lifetime to represent biological datasets this paper. The proposed is called new flexible logarithmic‐ X (NFLog‐ ) family. suggested NFLog‐ obtained by applying T‐ method together with exponential model having PDF m ( t = e − . Based on approach, three...

Background. A country’s agriculture reflects a backbone and performs vital part in the betterment of economy individuals. Facts figures sector offer solid foundation factual pathway intended for upcoming decisions favor country. Accordingly, probability models have more significant influence not only reliability engineering, hydrology, ecology, medicine but also sciences. Objective. The primary objective this study is to propose reliable efficient model pearl millet yield analysis, thereby...