Modelling to Engineering Data Using a New Class of Continuous Models

In this paper, a new flexible generator of continuous lifespan models referred to as the Topp-Leone Weibull G (TLWG) family is developed and studied. Several mathematical characteristics have been investigated. The new hazard rate of the new model can be “monotonically increasing,” “monotonically de...

Full description

Saved in:
Bibliographic Details
Main Authors: I. Elbatal, Naif Alotaibi
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/1148618
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832553658243350528
author I. Elbatal
Naif Alotaibi
author_facet I. Elbatal
Naif Alotaibi
author_sort I. Elbatal
collection DOAJ
description In this paper, a new flexible generator of continuous lifespan models referred to as the Topp-Leone Weibull G (TLWG) family is developed and studied. Several mathematical characteristics have been investigated. The new hazard rate of the new model can be “monotonically increasing,” “monotonically decreasing,” “bathtub,” and “J shape.” The Farlie Gumbel Morgenstern (FGM) and the modified FGM (MFGM) families and Clayton Copula (CCO) are used to describe and display simple type Copula. We discuss the estimation of the model parameters by the maximum likelihood (MLL) estimations. Simulations are carried out to show the consistency and efficiency of parameter estimates, and finally, real data sets are used to demonstrate the flexibility and potential usefulness of the proposed family of algorithms by using the TLW exponential model as example of the new suggested family.
format Article
id doaj-art-09d594a5740a4d8abaf6685dfeb79a79
institution Kabale University
issn 2314-8888
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-09d594a5740a4d8abaf6685dfeb79a792025-02-03T05:53:26ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/1148618Modelling to Engineering Data Using a New Class of Continuous ModelsI. Elbatal0Naif Alotaibi1Department of Mathematics and Statistics-College of ScienceDepartment of Mathematics and Statistics-College of ScienceIn this paper, a new flexible generator of continuous lifespan models referred to as the Topp-Leone Weibull G (TLWG) family is developed and studied. Several mathematical characteristics have been investigated. The new hazard rate of the new model can be “monotonically increasing,” “monotonically decreasing,” “bathtub,” and “J shape.” The Farlie Gumbel Morgenstern (FGM) and the modified FGM (MFGM) families and Clayton Copula (CCO) are used to describe and display simple type Copula. We discuss the estimation of the model parameters by the maximum likelihood (MLL) estimations. Simulations are carried out to show the consistency and efficiency of parameter estimates, and finally, real data sets are used to demonstrate the flexibility and potential usefulness of the proposed family of algorithms by using the TLW exponential model as example of the new suggested family.http://dx.doi.org/10.1155/2021/1148618
spellingShingle I. Elbatal
Naif Alotaibi
Modelling to Engineering Data Using a New Class of Continuous Models
Journal of Function Spaces
title Modelling to Engineering Data Using a New Class of Continuous Models
title_full Modelling to Engineering Data Using a New Class of Continuous Models
title_fullStr Modelling to Engineering Data Using a New Class of Continuous Models
title_full_unstemmed Modelling to Engineering Data Using a New Class of Continuous Models
title_short Modelling to Engineering Data Using a New Class of Continuous Models
title_sort modelling to engineering data using a new class of continuous models
url http://dx.doi.org/10.1155/2021/1148618
work_keys_str_mv AT ielbatal modellingtoengineeringdatausinganewclassofcontinuousmodels
AT naifalotaibi modellingtoengineeringdatausinganewclassofcontinuousmodels