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American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: https://www.sciepub.com/journal/ajams Editor-in-chief: Apply for this position
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Transmuted Lomax Distribution
by S.K. Ashour and M.A. Eltehiwy
American Journal of Applied Mathematics and Statistics. 2013, 1(6), 121-127
Lomax distribution hazard rate function reliability function parameter estimation
has been cited by the following article(s) based on Google Scholar:
1
The transmuted Weibull Lomax distribution: properties and application
AZ Afify, ZM Nofal, HM Yousof… - Pakistan Journal of …, 2015 - search.proquest.com
Abstract A new five parameter model is proposed and stutied. The new distribution
generalizes the Weibull Lomax distribution introduced by Tahir et al.(2015) and is referred to
as transmuted Weibull Lomax (TWL) distribution. Various structural properties of the new
2
Sigmoid functions: some approximation and modelling aspects
N Kyurkchiev, S Markov - … (LAP Lambert Acad. Publ., Saarbrucken, 2015 …, 2015 - biomath.bg
The subject of this book is cross-disciplinary. Sigmoid functions present interesting material
both for fundamental as well as application-driven research. We have tried to give the
readers the flavor of both perspectives. From the perspective of fundamental science
3
The transmuted inverse exponential distribution
P Oguntunde, O Adejumo - International Journal of …, 2014 - 2fwww.sciencepubco.com
Abstract This article introduces a two-parameter probability model which represents another
generalization of the Inverse Exponential distribution by using the quadratic rank transmuted
map. The proposed model is named Transmuted Inverse Exponential (TIE) distribution and
4
General results for the transmuted family of distributions and new models
M Bourguignon, I Ghosh, GM Cordeiro - Journal of Probability and …, 2016 - hindawi.com
The transmuted family of distributions has been receiving increased attention over the last
few years. For a baseline G distribution, we derive a simple representation for the
transmuted-G family density function as a linear mixture of the G and exponentiated-G
5
Transmuted Kumaraswamy Distribution
KM Shuaib, K Robert, HI Lena - Statistics in Transition new series, 2016 - yadda.icm.edu.pl
ABSTRACT The Kumaraswamy distribution is the most widely applied statistical distribution
in hydrological problems and many natural phenomena. We propose a generalization of the
Kumaraswamy distribution referred to as the transmuted Kumaraswamy () distribution. The
6
Performance rating of the transmuted exponential distribution: an analytical approach
EA Owoloko, PE Oguntunde, AO Adejumo - SpringerPlus, 2015 - Springer
Abstract In this article, the so called Transmuted Exponential (TE) distribution was applied to
two real life datasets to assess its potential flexibility over some other generalized models.
Various statistical properties of the TE distribution were also identified while the method of
7
Transmuted Dagum distribution with applications
I Elbatal, G Aryal - Chilean Journal of Statistics (ChJS), 2015 - chjs.mat.utfsm.cl
Abstract In this article, we will use the quadratic rank transmutation map (QRTM) in order to
generate a flexible family of probability distributions in which a three parameter Dagum
distribution is embedded. Various structural properties of the new distribution including
8
Transmuted Erlang-Truncated Exponential Distribution
IE Okorie, AC Akpanta, J Ohakwe - Economic Quality Control, 2016 - degruyter.com
Abstract This 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
9
Transmuted Exponentiated Gumbel Distribution (TEGD) and its Application to Water Quality Data
D Deka, B Das, BK Baruah - Pakistan Journal of Statistics and Operation …, 2017 - pjsor.com
The Transmuted Exponentiated Gumbel Distribution (TEGD) has been derived using
Exponentiated Gumbel Distribution (EGD) and the Quadratic Rank Transmutation Map
(QRTM). The analytical expressions and shapes of the distribution function, probability
10
Transmuted Two-Parameter Lindley Distribution
M Al-khazaleh, AI Al-Omari… - Journal of Statistics …, 2016 - naturalspublishing.com
Abstract: In this paper, a transmuted two-parameter Lindley distribution (TTLD) is suggested
as a modification of the well known two-parameter Lindley distribution (TLD). The necessary
mathematical properties including the moments, the moment generating function, hazard
11
Transmuted Laplace Distribution: Properties and Applications
DHA Hady, M Shalaby - American Journal of Applied …, 2016 - pubs.sciepub.com
New parameters can be introduced to expand families of distributions for added flexibility or
to construct covariate models and this could be done in various ways. In this article, we
generalize the Laplace distribution using the quadratic rank transmutation map studied by
12
Journal of ISOSS 2015 Vol. 1 (2), 119-130 THE TRANSMUTED MODIFIED BURR III DISTRIBUTION
A Ali, M Ahmad - Journal of ISOSS, 2015 - joi.isoss.net
ABSTRACT In this paper, we propose transmuted modified Burr III (TMB III) distribution. The
proposed distribution is more flexible and tractable than its parent Burr type III (B III)
distribution. Characteristics of the proposed distribution are derived. To illustrate the
13
The transmuted Weibull Lomax distribution: properties and application
AZ Afify, ZM Nofal, HM Yousof, YM El Gebaly… - Pakistan Journal of …, 2015 - pjsor.com
A new five parameter model is proposed and stutied. The new distribution generalizes the
Weibull Lomax distribution introduced by Tahir et al.(2015) and is referred to as transmuted
Weibull Lomax (TWL) distribution. Various structural properties of the new model including …
14
Sigmoid functions: some approximation and modelling aspects
N Kyurkchiev, S Markov - … (LAP Lambert Acad. Publ., Saarbrucken, 2015 …, 2015 - biomath.bg
The subject of this book is cross-disciplinary. Sigmoid functions present interesting material
both for fundamental as well as application-driven research. We have tried to give the
readers the flavor of both perspectives. From the perspective of fundamental science …
15
General results for the transmuted family of distributions and new models
M Bourguignon, I Ghosh, GM Cordeiro - Journal of Probability and …, 2016 - hindawi.com
The transmuted family of distributions has been receiving increased attention over the last
few years. For a baseline G distribution, we derive a simple representation for the
transmuted-G family density function as a linear mixture of the G and exponentiated-G …
16
The transmuted inverse exponential distribution
PE Oguntunde, AO Adejumo - International …, 2015 - eprints.covenantuniversity.edu.ng
This article introduces a two-parameter probability model which represents another
generalization of the Inverse Exponential distribution by using the quadratic rank transmuted
map. The proposed model is named Transmuted Inverse Exponential (TIE) distribution and …
17
Performance rating of the transmuted exponential distribution: an analytical approach
EA Owoloko, PE Oguntunde, AO Adejumo - SpringerPlus, 2015 - Springer
In this article, the so called Transmuted Exponential (TE) distribution was applied to two real
life datasets to assess its potential flexibility over some other generalized models. Various
statistical properties of the TE distribution were also identified while the method of maximum …
18
Compounding of distributions: a survey and new generalized classes
MH Tahir, GM Cordeiro - Journal of Statistical Distributions and …, 2016 - Springer
Generalizing distributions is an old practice and has ever been considered as precious as
many other practical problems in statistics. It simply started with defining different
mathematical functional forms, and then induction of location, scale or inequality …
19
Transmuted kumaraswamy distribution
MS Khan, R King, IL Hudson - Statistics in Transition new series, 2016 - ceeol.com
The Kumaraswamy distribution is the most widely applied statistical distribution in
hydrological problems and many natural phenomena. We propose a generalization of the
Kumaraswamy distribution referred to as the transmuted Kumaraswamy () distribution. The …
20
Pak. J. Statist. 2015 Vol. 32 (1), 63-80 TRANSMUTED EXPONENTIATED PARETO-I DISTRIBUTION
A Fatima, A Roohi - Pak. J. Statist, 2015 - pakjs.com
In this paper, we have introduced a new generalization of the Exponentiated Pareto-I
distribution named as the Transmuted Exponentiated Pareto-I distribution. The new
distribution can model data with increasing, decreasing or constant hazard rate. The …
21
Transmuted Dagum distribution with applications.
I Elbatal, G Aryal - Chilean Journal of Statistics (ChJS), 2015 - chjs.mat.utfsm.cl
In this article, we will use the quadratic rank transmutation map (QRTM) in order to generate
a flexible family of probability distributions in which a three parameter Dagum distribution is
embedded. Various structural properties of the new distribution including explicit …
22
The transmuted Birnbaum–Saunders distribution
M Bourguignon, J Leão, V Leiva, M Santos-Neto - REVSTAT Statistical Journal, 2017 - ine.pt
The Birnbaum–Saunders distribution has been largely studied and applied because of its
attractive properties. We introduce a transmuted version of this distribution. Various of its
mathematical and statistical features are derived. We use the maximum likelihood method …
23
Transmuted exponentiated gumbel distribution (TEGD) and its application to water quality data
D Deka, B Das, BK Baruah - Pakistan Journal of Statistics and Operation …, 2017 - pjsor.com
The Transmuted Exponentiated Gumbel Distribution (TEGD) has been derived using
Exponentiated Gumbel Distribution (EGD) and the Quadratic Rank Transmutation Map
(QRTM). The analytical expressions and shapes of the distribution function, probability …
24
On the flexibility of the transmuted inverse exponential distribution
PE Oguntunde, AO Adejumo, EA Owoloko - 2017 - eprints.covenantuniversity.edu.ng
Inverse Exponential distribution is more robust than the Inverse Exponential distribution. The
comparison was made using two real life data sets and the performance of the competing
models were rated based on their loglikelihood value and Akaike Information Criteria (AIC) …
25
Transmuted Erlang-truncated exponential distribution
IE Okorie, AC Akpanta, J Ohakwe - Economic Quality Control, 2016 - degruyter.com
This 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 …
26
Transmuted two-parameter Lindley distribution
M Al-khazaleh, AI Al-Omari… - Journal of Statistics …, 2016 - naturalspublishing.com
In this paper, a transmuted two-parameter Lindley distribution (TTLD) is suggested as a
modification of the well known two-parameter Lindley distribution (TLD). The necessary
mathematical properties including the moments, the moment generating function, hazard …
27
The Kumaraswamy transmuted Pareto distribution
SB Chhetri, AA Akinsete… - Journal of …, 2017 - jsdajournal.springeropen.com
In this work, a new five-parameter Kumaraswamy transmuted Pareto (KwTP) distribution is
introduced and studied. We discuss various mathematical and statistical properties of the
distribution including obtaining expressions for the moments, quantiles, mean deviations …
28
A New Generalization of the Lomax Distribution with Increasing, Decreasing, and Constant Failure Rate
PE Oguntunde, MA Khaleel, MT Ahmed… - … and Simulation in …, 2017 - hindawi.com
Developing new compound distributions which are more flexible than the existing
distributions have become the new trend in distribution theory. In this present study, the
Lomax distribution was extended using the Gompertz family of distribution, its resulting …
29
Some Structural Properties of the Transmuted Lindley Distribution with Application to Womens Anxiety Data
MSKR King, IL Hudson - 2018 - researchgate.net
This paper presents some characterizations of the transmuted Lindley distribution for
modelling survival data. The transmuted Lindley distribution can be obtained by using
quadratic rank transmutation map technique. We obtain the analytic shapes of the density …
30
[CITATION][C] Transmuted Mukherjee-Islam Distribution: A Generalization of Mukherjee-Islam Distribution
LMA Al-Zoubi - Journal of Mathematics Research, 2017
31
On the Properties of the Weibull-Burr III Distribution and its Application to Uncensored and Censored Survival Data
A Yakubu, SI Doguwa - researchgate.net
Twelve different families of cumulative distributions that are used to model real life data were
introduced by Burr (1942). Burr III distribution is among these families of cumulative
distributions. In this work, a four-parameter distribution is introduced to model real life …
32
HYBRIDIZATION OF DISTRIBUTIONS USING TRANSMUTATION AND PROPORTIONAL HAZARD APPROACH
WM Afify - ADVANCES AND APPLICATIONS IN STATISTICS, 2017 - researchgate.net
Hybridization process is a process of substitution by one of the methods to add parameters
in another method making the distribution more effective and flexible. Although there are
many distributions but we need to develop these to become more flexible for prediction of …
33
Transmuted Generalized Power Weibull Distribution
MS Khan - Thailand Statistician, 2018 - tci-thaijo.org
This paper introduces the transmuted generalized power Weibull distribution by using the
quadratic rank transmutation map technique (QRTM) and derive some of its structural
properties. This paper formulates the expressions for the moments and probability weighted …
34
The odd Lomax generator of distributions: Properties, estimation and applications
GM Cordeiro, AZ Afify, EMM Ortega, AK Suzuki… - … of Computational and …, 2019 - Elsevier
We introduce a new family of continuous distributions called the odd Lomax-G class and
provide four special models. We derive explicit expressions for the ordinary and incomplete
moments, generating function, Rényi entropy, order statistics and probability weighted …
35
The Hazard-Product method of generalization: Application to the gompertz and exponentiated Half-Normal distributions
SE Smith - Communications in Statistics-Theory and Methods, 2018 - Taylor & Francis
As new data sources arrive, novel methods of defining undiscovered distributions are
increasingly useful. In this presentation, the Hazard-Product method of generalizing survival
functions is introduced. Some limitations and considerations are discussed, and a new …
36
GENERALISATION OF THE INVERSE EXPONENTIAL DISTRIBUTION: STATISTICAL PROPERTIES AND APPLICATIONS
PE Oguntunde - 2017 - eprints.covenantuniversity.edu.ng
Page 1. GENERALISATION OF THE INVERSE EXPONENTIAL DISTRIBUTION: STATISTICAL
37
Bayesian Estimation of the Transmuted Fréchet Distribution
R Yousaf, M Aslam, S Ali - Iranian Journal of Science and Technology … - Springer
Transmuted distributions are a flexible skewed family of distributions and are currently used
as lifetime models in reliability analysis. In this article, we consider transmuted Fréchet
distribution for Bayesian analysis. In particular, we use and compare non-informative and …
38
Journal of ISOSS 2015 Vol. 1 (2), 119-130 THE TRANSMUTED MODIFIED BURR III DISTRIBUTION
A Ali, M Ahmad - Journal of ISOSS, 2015 - joi.isoss.net
In this paper, we propose transmuted modified Burr III (TMB III) distribution. The proposed
distribution is more flexible and tractable than its parent Burr type III (B III) distribution.
Characteristics of the proposed distribution are derived. To illustrate the application of the …
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