Cubic Transmuted Gompertz Distribution: As a  Life Time Distribution

Ogunde, Adebisi Ade; Olayode, Fatoki; Adejumoke, Audu

doi:10.9734/jamcs/2020/v35i130242

Cited by 4 publications

(3 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…e cubic transmuted Lindley is a special case from the ranked transmuted Lindley introduced by [23], by making some reparameterization; however, we used the cubic transmuted family proposed by Rahman et al [38] to get the equations of the cubic transmuted Livley, which is a special case of the distribution proposed in [23]. Distribution is a special case from equation (4) that caused other new distributions to be introduced by Ansari et al [39]; Ogunde et al [40]; Wang and Bao [41]; Rahman et al [38]; Akter et al [42]; and so on, in order to introduce the proposed distribution, by substituting equation ( 2) into (4), which has the following distribution function:…”

Section: Cubic Transmuted Lindley Distributionmentioning

confidence: 99%

Classical Inference of the Cubic Transmuted Lindley Distribution under Type-II Censored Sample

Khan

Alharthi

Aljohani

et al. 2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

Statistician always tries to find an easy method that gives a suitable fit. However, proposing a new distribution always solves many statistical problems. In this paper, we introduce a new extension of the Lindley distribution. We made a statistical inference under complete and Type-II censored sample on a new extension of the Lindley distribution. We have deduced its PDF and CDF using a cubic transmuted family that is because the new equations are very easy in computation. We called the new form the cubic transmuted Lindley distribution. The probability distribution function and the cumulative distribution function were also written as a closed form along with some mathematical properties. The classical method, which is the maximum likelihood estimation technique and maximum product of spacing technique, was used to find the estimators of the unknown model parameters. At last, to prove the superiority and applicability of the model, three real data sets are implemented and compared using the proposed method. We made a comparison with some of its baseline distributions and some other extensions, and our model outperforms the published ones.

show abstract

Section: Cubic Transmuted Lindley Distributionmentioning

confidence: 99%

Classical Inference of the Cubic Transmuted Lindley Distribution under Type-II Censored Sample

Khan

Alharthi

Aljohani

et al. 2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…Granzotto et al [9] have suggested cubic rank transmuted Weibull, cubic rank transmuted loglogistic distributions etc. Bugra Saracoglu et al [18], studied the properties of cubic rank transmuted kumaraswamy distribution, Cubic transmuted Gompertz distribution was studied by Ogunde AA et al [19] etc.…”

Section: Cubic Rank Transmuted Kumaraswamy (Crtiw) Distributionmentioning

confidence: 99%

The Characterization of the Cubic Rank Inverse Weibull Distribution

Ogunde

Chukwu

Agwuegbo

2020

ARJOM

View full text Add to dashboard Cite

This work provides a new statistical distribution named Cubic rank transmuted Inverse Weibull distribution which was developed using the cubic transmutation map. Various statistical properties of the new distribution which includes: hazard function, moments, moment generating function, skewness, kurtosis, Renyl entropy and the order statistics were studied. A maximum likelihood estimation method was used in estimating the parameters of the distribution. Applications to real data set show the tractability of the distribution over other distributions and its sub-model.

show abstract

“…In this paper, we introduce a new generalization of G distribution which results in the application of the G distribution to the Nadarajah and Haghighi (NH) family of distribution proposed by [4] as an alternative to Gamma and Weibull distributions. Several variants of Gompertz distribution have been studied but not limited to the work of [5] who investigated the properties of Cubic Transmuted Gompertz Distribution, [6] studied the properties of Transmuted Gompertz Distribution, [7] developed and studied the properties of Beta Gompertz Makeham distribution. The properties of kumaraswamy Gompertz Makeham distribution were studied by [8], [9] investigated the structure and properties of Beta Gompertz distribution, [10] developed studied the McDonald Gompertz distribution, the exponentiated generalised extended Gompertz distribution was studied by [11].…”

Section: Introductionmentioning

confidence: 99%

On the Application of Nadarajah Haghighi Gompertz Distribution as a Life Time Distribution

Ogunde¹,

Ajao²,

Olalude³

2020

OJS

View full text Add to dashboard Cite

The convolution of Nadarajah-Haghighi-G family of distributions will result into a more flexible distribution (Nadarajah-Haghighi Gompertz distribution) than each of them individually in terms of the estimate of the characteristics in there parameters. The combination was done using Nadarajah-Haghighi (NH) generator. We investigated in the newly developed distribution some basic properties including moment, moment generating function, survival rate function, hazard rate function asymptotic behaviour and estimation of parameters. The proposed model is much more flexible and has a better representation of data than Gompertz distribution and some other model considered. A real data set was used to illustrate the applicability of the new model.

show abstract

Cubic Transmuted Gompertz Distribution: As a Life Time Distribution

Cited by 4 publications

References 14 publications

Classical Inference of the Cubic Transmuted Lindley Distribution under Type-II Censored Sample

Classical Inference of the Cubic Transmuted Lindley Distribution under Type-II Censored Sample

The Characterization of the Cubic Rank Inverse Weibull Distribution

On the Application of Nadarajah Haghighi Gompertz Distribution as a Life Time Distribution

Contact Info

Product

Resources

About