A New Extension of Weibull Distribution with Application to Lifetime Data

Dey, Sanku; Sharma, Vikas Kumar; Mesfioui, Mhamed

doi:10.1007/s40745-016-0094-8

Cited by 54 publications

(36 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this section, we utilized three data sets to show that APTIL can be a better life testing distribution compared with some known probability distributions such as APT Weibull (APW) distribution [9], alpha power transformed inverse exponential (APTIE) distribution [10],…”

Section: Applicationsmentioning

confidence: 99%

“…In the literature, many probability distributions are generalized using this approach; for example, alpha power transformed Weibull (APTW) distribution in [9], APT generalized exponential distribution in [10], APT Lindley distribution in [11], APT extended exponential distribution in [12], alpha power inverted exponential distribution in [13], alpha power Inverse-Weibull distribution in [14], APT inverse-Lindley distribution in [15], APT power Lindley studied in [16], and APT Pareto distribution proposed in [17]. e main goal of this research article is to introduce a simpler and more flexible model called APT inverse Lomax (APTIL) distribution.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications

et al. 2020

View full text Add to dashboard Cite

In this paper, a new three-parameter lifetime distribution, alpha power transformed inverse Lomax (APTIL) distribution, is proposed. e APTIL distribution is more flexible than inverse Lomax distribution. We derived some mathematical properties including moments, moment generating function, quantile function, mode, stress strength reliability, and order statistics. Characterization related to hazard rate function is also derived. e model parameters are estimated using eight estimation methods including maximum likelihood, least squares, weighted least squares, percentile, Cramer-von Mises, maximum product of spacing, Anderson-Darling, and right-tail Anderson-Darling. Numerical results are calculated to compare the performance of these estimation methods. Finally, we used three real-life datasets to show the flexibility of the APTIL distribution. − α , x, a, b > 0.(2)Mahdavi and Kundu [8] introduced the alpha power transformation (APT) method to add an additional parameter to a family of distributions to increase flexibility in given family. e cdf and pdf of APT-G family are Hindawi Complexity Volume 2020, Article ID 1860813, 15 pages https://doi.

show abstract

Section: Applicationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications

et al. 2020

View full text Add to dashboard Cite

show abstract

“…Some extension of APT method are treated like APT generalized exponential [6], APT extended exponential [9] , APT inverse Lindley [18], APT weibull [5] and APT power Lindley [10], Alpha power transformed extended exponential distribution by Hassan et al [9]. we proposed a new mathematical model and it named as alpha power transformed Pareto distribution in section 2.…”

Section: Introductionmentioning

confidence: 99%

Alpha power transformed Pareto distribution and its properties with application

K.M.¹,

A.²

2020

Malaya J. Mat.

View full text Add to dashboard Cite

In this article, a new lifetime distribution sparked by alpha power transformation is studied. This article aims to propose a new generalization of the Pareto distribution known as alpha power transformed Pareto (APTP) distribution. The APTP distribution provides a better fit than the Pareto and transmuted Pareto distributions. Some mathematical properties of APTP distribution such as moments, quantile function, survival reliability function, conditional reliability function, hazard function and order statistics are derived. For parameter estimation, maximum likelihood, least square and weighted least square and maximum product space, percentiles estimators are used. A river flood data sets are occupied to appearance how the APTP distribution works better in real life.

show abstract

“…In fact, this is time-between-events distribution that is used to characterize the point process. There are many studies that extend the existing probability models, see, for instance, [6,9,11,12,14,16,17,19,21,26,29], and references cited therein.…”

Section: Introductionmentioning

confidence: 99%

Bivariate discrete Nadarajah and Haghighi distribution: Properties and different methods of estimation

Ali

Shafqat

Shah

et al. 2019

Filomat

Self Cite

View full text Add to dashboard Cite

The exponential distribution is commonly used to model different phenomena in statistics and reliability engineering. A new extension of exponential distribution known as the Nadarajah and Haghighi [An extension of the exponential distribution, Statistics: A Journal of Theoretical and Applied Statistics 45 (2011) 543-558.] distribution was introduced in the literature to accommodate the inflation of zero in the data. In practice, however, discrete data are easy to collect as compared to continuous data. Discrete bivariate distributions play important roles in modeling bivariate lifetime count data. Thus focusing on the utility of discrete data, this study presents a new bivariate discrete Nadarajah and Haghighi distribution. We discuss some basic properties of the proposed distribution and study seven different methods of estimation for the unknown parameters to assess the performance of the proposed bivariate discrete model. Two data sets are also analyzed to demonstrate how the proposed model may work in practice. Results show that the proposed model is very flexible and performs better than some of the existing models.

show abstract

A New Extension of Weibull Distribution with Application to Lifetime Data

Cited by 54 publications

References 38 publications

Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications

Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications

Alpha power transformed Pareto distribution and its properties with application

Bivariate discrete Nadarajah and Haghighi distribution: Properties and different methods of estimation

Contact Info

Product

Resources

About