A fully parametric family of distributions called the new generalized (NGF) is proposed. The cumulative distribution function proposed NGF constructed based on reciprocal hazard rate function. Furthermore, a special sub-family Pareto (NGP) also addressed. sub-model NGP class Kumaraswamy (NKP) introduced. NKP model provides flexible shapes for its and density functions. properties are derived. In addition, inferences under complete bootstrapped samples parameters Monte Carlo simulation...

We explore the cosmic evolution of accelerating universe in framework dynamical Chern–Simons modified gravity an interacting scenario by taking flat homogeneous and isotropic model. For this purpose, we take some parametrizations equation state parameter. This parametrization may be a Taylor series extension redshift, scale factor or any other general ω . analyze interaction term which calculates action between dark matter energy. various cosmological parameters such as deceleration...

Abstract In this paper, we develop attribute control charts (CCs) using two life data distributions named as Transmuted Power function distribution (TPFD) and Survival Weighted (SWPFD) under a time truncated test (TTLT). The evaluation of the presented is based on average run length these evaluations in form tables. comparative study has been done for suggested CCs detail criteria length. We take up real‐life situation assuming that lifespan items follows TPFD SWPFD to assess competence...

The aim of the paper is to propose a new Reflected Power function distribution (RPFD). We provide various properties model in detail such as moments, vitality and order statistics. characterize RPFD based on conditional moments (Right Left Truncated mean) doubly truncated mean. also study shape be applicable many real life situations. estimate parameters for proposed by using different methods maximum likelihood method, modified percentile estimator estimator. increase application (PFD)....

This article introduces a new probability model based on reflected parameter called the Pareto (RP) distribution. The key properties of RP are investigated. A simulation study is conducted to evaluate performances its estimators. real-life application considered examine performance proposed model. different criteria discussed numerically as well graphically show flexibility exponential weighted moving average control charts maximum likelihood and modified estimators for shape distribution...

In statistical modeling, lifetime datasets play an important and significant role. Weighted distributions can be useful to attain the essential purposes relating developed distributions’ flexibility improve further compliances in data forming; they provide extension of distributions. The current study suggests a new best-fit probability distribution model based on Pareto distribution. is called Survival (SWP) model. Furthermore, expressions for different properties, which include moments,...

Abstract The reflected power function distribution (RPFD) has applications in the fields of reliability engineering and survival analysis. To identify remove variation different processes also to monitor machines where number errors follows RPFD, we develop control charts keep process control. A memory less chart like a Shewhart chart, two memory‐based an exponentially weighted moving average (EWMA) hybrid (HEWMA) are discussed compared with each other. Proposal these is based on estimators,...

Abstract Zaka et al provided a new distribution called the Weighted Power function (WPFD), which has application in reliability engineering and survival analysis. They used different estimation methods to estimate unknown parameters of WPFD proved that modified maximum likelihood estimator (MMLE) is best consider for parameters. We have constructed memoryless memory‐based control charts based on assumption underlying process does not follow normal distribution. In this paper, we provide...

Diabetic Retinopathy (DR) is a common complication of diabetes mellitus that causes lesions on the retina affect vision. Late detection DR can lead to irreversible blindness. The manual diagnosis process fundus images by ophthalmologists time consuming and costly. While, Classical Transfer learning models are extensively used for computer aided DR; however, their maintenance costs limits performance rate. Therefore, Quantum better option address this problem in an optimized manner....

The paper is concerned with the continuous uniform distribution for estimation of its parameters. We have defined different methods that may be utilized parameters a which includes least square and relative also method ridge regression, moments modifications, Percentile maximum likelihood estimation. are estimated using thirteen Monte Carlo generated samples. A repeated simulation study compares these methods. use total deviation mean as performance index to identify best estimator amongst...

The weighted distributions are useful when the sampling is done using an unequal probability of units. Weighted Power function distribution (WPFD) has applications in fields reliability engineering, management sciences and survival analysis. WPFD more beneficial Statistical process control (SPC). SPC defined as use statistical techniques to a or production method. tools procedures can help monitor behaviour, discover problems internal systems, find solutions for issues. To identify remove...

In practice, the control charts for monitoring of process mean are based on normality assumption. But performance is seriously affected if quality characteristics departs from normality. For such situations, we have modified already existing as Shewhart chart, exponentially weighted moving average (EWMA) chart and hybrid (HEWMA) by assuming that distribution underlying follows Power function (PFD). By considering situation parameters PFD unknown, estimate them using three classical...

In order to improve the already existing models that are used extensively in bio sciences and applied research, a new class of Weighted Power function distribution (WPFD) has been proposed with its various properties different modifications be more applicable real life.We have provided mathematical derivations for including moments, incomplete conditional inverse mean residual function, vitality statistics, mills ratio, information Shannon entropy, Bonferroni Lorenz curves quantile...

The reflected power function distribution (RPFD) has increasing importance in practical life due to its application diversified fields of life. Organisations often face difficulty monitoring operations identify and remove errors during production. That is why there a need introduce control charts that effectively monitor the processes, mainly when number follows RPFD manufacturing process control. current study suggested memory-based as solution problem. are based on estimation methods play...

In real life, the distribution of errors during any life testing products or process does not meet assumption normality. Statistical control (SPC) is defined as use statistical techniques to a production method. SPC tools and procedures can help monitor behavior, discover problems in internal systems, find solutions for issues. To identify remove variation different reliability processes machines where number follows skewed distributions, we develop charts keep control. For such situations,...

<ns4:p>Background Statistical process control (SPC) is utiled in manufacturing and service applications. It used to monitor the behavior of process, also discover solve issues internal systems. SPC allows immediate corrective actions prevent defects maintain stability. There are two types charts available literature: variable attribute charts. Methods The use for positively skewed distributions such as power function distribution weighted discussed this research paper. We compared both...

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...

The continuous monitoring of the machine is beneficial in improving its process reliability through reflected power function distribution. It substantial for identifying and removing errors at early stages production that ultimately benefit firms cost-saving quality improvement. current study introduces control charts help manufacturing concerns to keep control. presents an exponentially weighted moving average extended then compared their performance. percentiles estimator modified maximum...

Abstract We discuss some classical estimator based modified control charts for phase‐II monitoring in real life. The modification of existing such as exponentially weighted moving average (EWMA) and extended (EEWMA) is proposed compared the situation when assumption normality not fulfilled due to unavoidable factors. first estimate shape parameter power function distribution using percentile maximum likelihood then propose EWMA EEWMA on these estimators. Monte Carlo simulation studies are...