A modified truncated distribution for modeling the heavy tail, engineering and environmental sciences data

Gul, Ahtasham; Mohsin, Muhammad; Adil, Muhammad; Ali, Mansoor

doi:10.1371/journal.pone.0249001

Cited by 6 publications

(5 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Alzaatreh et al [ 12 ] developed the Weibull-X distribution which provides more flexibility in lifetime data while Cordeiro et al [ 13 ] worked on the type-I half-logistic family of distributions. For a detailed discussion of distribution families, we refer to [ 14 – 24 ].…”

Section: Methodsmentioning

confidence: 99%

Statistical analysis of Covid-19 mortality rate via probability distributions

Farooq

Ijaz²,

Atif³

et al. 2022

PLoS ONE

View full text Add to dashboard Cite

Among other diseases, Covid 19 creates a critical situation around the world. Five layers have been recorded so far, resulting in the loss of millions of lives in different countries. The virus was thought to be contagious, so the government initially severely forced citizens to keep a distance from each other. Since then, several vaccines have been developed that play an important role in controlling mortality. In the case of Covid-19 mortality, the government should be forced to take significant steps in the form of lockdown, keeping you away or forcing citizens to vaccinate. In this paper, modeling of Covid-19 death rates is discussed via probability distributions. To delineate the performance of the best fitted model, the mortality rate of Pakistan and Afghanistan is considered. Numerical results conclude that the NFW model can be used to predict the mortality rate for Covid-19 patients more accurately than other probability models.

show abstract

Section: Methodsmentioning

confidence: 99%

Statistical analysis of Covid-19 mortality rate via probability distributions

Farooq

Ijaz²,

Atif³

et al. 2022

PLoS ONE

View full text Add to dashboard Cite

show abstract

“…To demonstrate the efficacy of proposed model, we compare the HL-TEXPD with halflogistic Poisson (HLP) ( [30]), type I half-logistic Bur-X (TIHL-BX) ( [6]), type I half-logistic Frechet (TIHL-Fr) ( [31]), Weibull-Truncated Exponential (W-TEXPD) ( [32]), Truncated Exponential (TEXPD) and Exponential distributions.…”

Section: Plos Onementioning

confidence: 99%

Half logistic-truncated exponential distribution: Characteristics and applications

Gul,

Sandhu,

Farooq

et al. 2023

PLoS ONE

View full text Add to dashboard Cite

Gul and Mohsin 2021 developed a new modified form of renowned “Half logistic” distribution introduced by Balakrishnan (1991) and named it half logistic-truncated exponential distribution (HL-TEXPD). Some mathematical characteristics are studied, including hazard function, Pth percentile, moment generating function and Shannon entropy. Simulation study is performed to examine the behaviour of parameter estimates. The proposed model is fitted on three real data sets to check its efficacy. Additionally, TTT (total time on test) plot is drawn to study the failure rate of the three data sets. The results verdict that HL-TEXPD can be efficiently utilized in the field of engineering and medical sciences based on the data sets under study contrary to the classical and baseline models.

show abstract

“…For the estimation of unknown parameters, Chen and Gui [29] "used an adaptive progressive type-II censoring model to estimate unknown parameters of a truncated normal distribution". Gul et al [30] developed a truncated model called Weibull-truncated exponential distribution. The unknown parameters of the proposed model are calculated by applying the maximum likelihood estimation (MLE) method.…”

Section: Introductionmentioning

confidence: 99%

Process Monitoring Using Truncated Gamma Distribution

Ali,

Rajput,

Shah

et al. 2023

Stats

View full text Add to dashboard Cite

The time-between-events idea is commonly used for monitoring high-quality processes. This study aims to monitor the increase and/or decrease in the process mean rapidly using a one-sided exponentially weighted moving average (EWMA) chart for the detection of upward or downward mean shifts using a truncated gamma distribution. The use of the truncation method helps to enhance and improve the sensitivity of the proposed chart. The performance of the proposed chart with known and estimated parameters is analyzed by using the run length properties, including the average run length (ARL) and standard deviation run length (SDRL), through extensive Monte Carlo simulation. The numerical results show that the proposed scheme is more sensitive than the existing ones. Finally, the chart is implemented in real-world situations to highlight the significance of the proposed chart.

show abstract

A modified truncated distribution for modeling the heavy tail, engineering and environmental sciences data

Cited by 6 publications

References 27 publications

Statistical analysis of Covid-19 mortality rate via probability distributions

Statistical analysis of Covid-19 mortality rate via probability distributions

Half logistic-truncated exponential distribution: Characteristics and applications

Process Monitoring Using Truncated Gamma Distribution

Contact Info

Product

Resources

About