scholarly journals Exponentiated Frechet Distribution with Application in Temperature of Assam, India Overview with New Properties and Estimation

2021 ◽  
pp. 211-225
Author(s):  
Umme Habibah Rahman ◽  
Tanusree Deb Roy
Keyword(s):  
Hazard Rate ◽  
Goodness Of Fit ◽  
Survival Function ◽  
Information Matrix ◽  
Estimation Method ◽  
Likelihood Estimation ◽  
Rate Function ◽  
Hazard Rate Function ◽  
Fréchet Distribution ◽  
Frechet Distribution

In this paper, a new kind of distribution has suggested with the concept of exponentiate. The reliability analysis including survival function, hazard rate function, reverse hazard rate function and mills ratio has been studied here. Its quantile function and order statistics are also included. Parameters of the distribution are estimated by the method of Maximum Likelihood estimation method along with Fisher information matrix and confidence intervals have also been given. The application has been discussed with the 30 years temperature data of Silchar city, Assam, India. The goodness of fit of the proposed distribution has been compared with Frechet distribution and as a result, for all 12 months, the proposed distribution fits better than the Frechet distribution.

scholarly journals The Inverse Sushila Distribution: Properties and Application

2020 ◽  
pp. 28-39
Author(s):  
A. A. Adetunji ◽  
J. A. Ademuyiwa ◽  
O. A. Adejumo
Keyword(s):  
Hazard Rate ◽  
Survival Function ◽  
Likelihood Estimation ◽  
Stochastic Ordering ◽  
Rate Function ◽  
Lifetime Data ◽  
Hazard Rate Function ◽  
Cumulative Hazard ◽  
Fundamental Properties ◽  
Proposed Model

In this paper, a new lifetime distribution called the Inverse Sushila Distribution (ISD) is proposed. Its fundamental properties like the density function, distribution function, hazard rate function, survival function, cumulative hazard rate function, order statistics, moments, moments generating function, maximum likelihood estimation, quantiles function, Rényi entropy and stochastic ordering are obtained. The distribution offers more flexibility in modelling upside-down bathtub lifetime data. The proposed model is applied to a lifetime data and its performance is compared with some other related distributions.

scholarly journals A Fuzzy Mathematical Model for the Parathyroid Hormone Measurements using Frechet Distribution

2019 ◽  
Vol 9 (1) ◽  
pp. 913-916
Keyword(s):  
Mathematical Model ◽  
Parathyroid Hormone ◽  
Survival Rate ◽  
Hazard Rate ◽  
Rate Function ◽  
Hazard Rate Function ◽  
Fréchet Distribution ◽  
Immunometric Assay ◽  
Intraoperative Parathyroid Hormone ◽  
Frechet Distribution

In this paper, a fuzzy mathematical model using Frechet distribution was developed and its survival rate function and hazard rate function are used to find the usefulness of a rapid immunometric assay for intraoperative parathyroid hormone measurements.

scholarly journals Weibull Model Allowing Nearly Instantaneous Failures

2007 ◽  
Vol 2007 ◽  
pp. 1-11 ◽  
Author(s):  
C. D. Lai ◽  
Michael B. C. Khoo ◽  
K. Muralidharan ◽  
M. Xie
Keyword(s):  
Probability Density Function ◽  
Hazard Rate ◽  
Survival Function ◽  
Weibull Model ◽  
Rate Function ◽  
Model Parameters ◽  
Hazard Rate Function ◽  
Modified Model ◽  
Instantaneous Failures ◽  
Early Failures

A generalized Weibull model that allows instantaneous or early failures is modified so that the model can be expressed as a mixture of the uniform distribution and the Weibull distribution. Properties of the resulting distribution are derived; in particular, the probability density function, survival function, and the hazard rate function are obtained. Some selected plots of these functions are also presented. An R script was written to fit the model parameters. An application of the modified model is illustrated.

scholarly journals Beta Generalized Exponentiated Frechet Distribution with Applications

Open Physics ◽  
2019 ◽  
Vol 17 (1) ◽  
pp. 687-697
Author(s):  
Majdah M. Badr
Keyword(s):  
Maximum Likelihood ◽  
Hazard Rate ◽  
Information Matrix ◽  
Model Parameters ◽  
Fréchet Distribution ◽  
Method Of Maximum Likelihood ◽  
Frechet Distribution ◽  
Fisher's Information

Abstract In this article we introduce a new six - parameters model called the Beta Generalized Exponentiated-Frechet (BGEF) distribution which exhibits decreasing hazard rate. Many models such as Beta Frechet (BF), Beta ExponentiatedFrechet (BEF), Generalized Exponentiated-Frechet (GEF), ExponentiatedFrechet (EF), Frechet (F) are sub models. Some of its properties including rth moment, reliability and hazard rate are investigated. The method of maximum likelihood isproposed to estimate the model parameters. The observed Fisher’s information matrix is given. Moreover, we give the advantage of the (BGEF) distribution by an application using two real datasets

scholarly journals A Mathematical WGED – Model Approach on Short-Term High in Density Exercise Training, Attenuated Acute Exercise – Induced Growth Hormone Response

2019 ◽  
Vol 8 (1) ◽  
pp. 1-5
Author(s):  
M. Kaliraja ◽  
K. Perarasan
Keyword(s):  
Growth Hormone ◽  
Exponential Distribution ◽  
Hazard Rate ◽  
Acute Exercise ◽  
Survival Function ◽  
Life Time ◽  
Rate Function ◽  
Hazard Rate Function ◽  
Short Term ◽  
Exercise Induced

In the current manuscript, we have demonstrated the recent generalization of Weibull-G exponential distribution (three-parameter) and it is a very familiar distribution as compared to other distribution.It has been found that Weibull-G exponential distribution (WGED) can be utilized pretty efficiently to evaluate the biological data in the position of gamma and log-normal Weibull distributions. It has two shape parameters and the three scale parameters namely, a, b, λ. Some of its statistical properties are acquired, which includes reserved hazard function, probability-density function, hazard-rate function and survival function. Our aim is to shore-up the results of life-time using three-parameter Weibull generalized exponential distribution. Hence, the corresponding probability functions, hazard-rate function, survival function as well as reserved hazard-rate function has been analyzed in the 3 weeks of high-intensity exercise training in short-term. The outcomes of the present study supporting the results of life-time data that the interim elevated intensity exercise activity attenuated an acute exercise induced growth hormone release.

scholarly journals The Topp-Leone odd log-logistic Gumbel Distribution: Properties and Applications

2020 ◽  
Vol 9 (2) ◽  
pp. 288-310
Author(s):  
Fazlollah Lak ◽  
Morad Alizadeh ◽  
Hamid Karamikabir
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Hazard Rate ◽  
Gumbel Distribution ◽  
Likelihood Estimation ◽  
Real Data ◽  
Rate Function ◽  
Model Parameters ◽  
Data Sets ◽  
Hazard Rate Function

In this article, the Topp-Leone odd log-logistic Gumbel (TLOLL-Gumbel) family of distribution have beenstudied. This family, contains the very flexible skewed density function. We study many aspects of the new model like hazard rate function, asymptotics, useful expansions, moments, generating Function, R´enyi entropy and order statistics. We discuss maximum likelihood estimation of the model parameters. Further, we study flexibility of the proposed family are illustrated of two real data sets.

Transmuted Erlang-Truncated Exponential Distribution

2016 ◽  
Vol 31 (2) ◽  
Author(s):  
Idika E. Okorie ◽  
Anthony C. Akpanta ◽  
Johnson Ohakwe
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Hazard Rate ◽  
Likelihood Estimation ◽  
Rate Function ◽  
Lifetime Distribution ◽  
Hazard Rate Function ◽  
Method Of Maximum Likelihood ◽  
Two Parameter ◽  
New Distribution

AbstractThis article introduces a new lifetime distribution called the transmuted Erlang-truncated exponential (TETE) distribution. This new distribution generalizes the two parameter Erlang-truncated exponential (ETE) distribution. Closed form expressions for some of its distributional and reliability properties are provided. The method of maximum likelihood estimation was proposed for estimating the parameters of the TETE distribution. The hazard rate function of the TETE distribution can be constant, increasing or decreasing depending on the value of the transmutation parameter

Exponentiated–Exponential Logistic Distribution: Some Properties and Application

2020 ◽  
Vol 9 (1) ◽  
pp. 100-108
Author(s):  
Laxmi Prasad Sapkota
Keyword(s):  
Hazard Rate ◽  
Likelihood Estimation ◽  
Quantile Function ◽  
Rate Function ◽  
Logistic Distribution ◽  
Hazard Rate Function ◽  
Density Plot ◽  
Mathematical Properties ◽  
And Behavior ◽  
New Distribution

This study proposes new distribution which is generated from exponentiated-exponential-X family of distribution. It is explored various shape and behavior of the observed distribution through probability density plot, hazard rate function and quantile function. Further we have investigated some mathematical properties, estimation of the parameters and associated confidence interval using maximum likelihood estimation (MLE) method of the exponentiatedexponential-logistic distribution (EELD).

Violation Behavior Analysis of Pedestrian and Non-Motorized Vehicle

2014 ◽  
Vol 721 ◽  
pp. 43-46
Author(s):  
Pan Hao ◽  
Qing Yu Hao
Keyword(s):  
Survival Analysis ◽  
Hazard Rate ◽  
Survival Function ◽  
Rate Function ◽  
Hazard Rate Function ◽  
Analysis Software ◽  
Set Up ◽  
Motorized Vehicles ◽  
The Relationship ◽  
Statistical Analysis Software

Behavior-based analysis of the relationship between pedestrian and non-motorized vehicle’s violation was established through empirical study and survival analysis. The nonparametric method which belongs to survival analysis a statistical method combining the result of the event and the time of result complied with the SPSS the data statistical analysis software was used to set up hazard rate function and waiting time survival function and then the regularities of the pedestrians and non-motorized vehicles’ irregularities are obtained. The study is helpful to evaluate the crowd on the influence of the irregularities and provide the basis for urban planning.

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