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You searched for subject:(Lomax distribution). Showing records 1 – 3 of 3 total matches.

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Bowling Green State University

1. Alghamdi, Amani Saeed. Study of Generalized Lomax Distribution and Change Point Problem.

Degree: PhD, Mathematics/Mathematical Statistics, 2018, Bowling Green State University

Generalizations of univariate distributions are often of interest to serve for real life phenomena. These generalized distributions are very useful in many ¿elds such as medicine, physics, engineer-ing and biology. Lomax distribution (Pareto-II) is one of the well known univariate distributions that is considered as an alternative to the exponential, gamma, and Weibull distributions for heavy tailed data. However, this distribution does not grant great ¿exibility in modeling data.In this dissertation, we introduce a generalization of the Lomax distribution called Rayleigh Lo-max (RL) distribution using the form obtained by El-Bassiouny et al. (2015). This distribution provides great ¿t in modeling wide range of real data sets. It is a very ¿exible distribution that is related to some of the useful univariate distributions such as exponential, Weibull and Rayleigh dis-tributions. Moreover, this new distribution can also be transformed to a lifetime distribution which is applicable in many situations. For example, we obtain the inverse estimation and con¿dence intervals in the case of progressively Type-II right censored situation. We also apply Schwartz information approach (SIC) and modi¿ed information approach (MIC) to detect the changes in parameters of the RL distribution. The performance of these approaches is studied through simu-lations and applications to real data sets.According to Aryal and Tsokos (2009), most of the real world phenomenon that we need to study are asymmetrical, and the normal model is not a good model for studying this type of dataset. Thus, skewed models are necessary for modeling and ¿tting asymmetrical datasets. Azzalini (1985) in-troduced the univariate skew normal distribution and his approach can be applied in any symmet-rical model. However, if the underlying (base) probability is not symmetric, we can not apply the Azzalini’s approach. This motivated the study for more ¿exible alternative.Shaw and Buckley (2007) introduced a quadratic rank transmutation map (QRTM) which can be applied in any (symmetric or asymmetric) distribution. Recently, many distributions have been suggested using the QRTM to derive the transmuted class (TC) of distributions. This provides great ¿exibility in performing real datasets. We extend our work in RL distribution to derive the transmuted Rayleigh Lomax (TR-RL) distribution using the QRTM. Mathematical and statistical properties, such as moment generating function, L-moment, probability weight moments are de-rived and studied. We also establish the relationship between the TR-RL , the RL, and other useful distributions to show that our proposed distribution includes them as special cases. TR-RL is ¿tted to a well known dataset, the goodness of ¿t test and the likelihood ratio test are presented to show how well the TR-RL ¿ts the data. Advisors/Committee Members: Gupta, Arjun (Committee Co-Chair), Ning, Wei (Committee Co-Chair).

Subjects/Keywords: Statistics; Confidence Intervals; Inverse estimator; Order statistics; Proportional hazard family; Change point; Rayleigh Lomax distribution; Information criterion; Binary segmentation

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APA (6th Edition):

Alghamdi, A. S. (2018). Study of Generalized Lomax Distribution and Change Point Problem. (Doctoral Dissertation). Bowling Green State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1526387579759835

Chicago Manual of Style (16th Edition):

Alghamdi, Amani Saeed. “Study of Generalized Lomax Distribution and Change Point Problem.” 2018. Doctoral Dissertation, Bowling Green State University. Accessed October 16, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1526387579759835.

MLA Handbook (7th Edition):

Alghamdi, Amani Saeed. “Study of Generalized Lomax Distribution and Change Point Problem.” 2018. Web. 16 Oct 2019.

Vancouver:

Alghamdi AS. Study of Generalized Lomax Distribution and Change Point Problem. [Internet] [Doctoral dissertation]. Bowling Green State University; 2018. [cited 2019 Oct 16]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1526387579759835.

Council of Science Editors:

Alghamdi AS. Study of Generalized Lomax Distribution and Change Point Problem. [Doctoral Dissertation]. Bowling Green State University; 2018. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1526387579759835


Marshall University

2. Otunuga, Oluwaseun Elizabeth. The Pareto-g Extended Weibull Distribution.

Degree: 2017, Marshall University

In this thesis, the Pareto family of extended Weibull distribution is introduced and discussed extensively. This family consists of the Pareto (Type I) Extended Weibull Distribution or PEW for short, and the Pareto (Type II) Extended Weibull Distribution or otherwise called the Lomax Extended Weibull Distribution or LEW for short. The numbers of the parameters of PEW or LEW depend on the number of parameters for the extended Weibull distribution and type of the Pareto distribution. Some properties of these distributions, such as the hazard rate function, the survival function, moments, skewness, kurtosis, mean deviation and entropies are discussed. The maximum likelihood estimation of the parameters and corresponding confidence intervals are also discussed. We demonstrate the applications and versatility of the distributions over some existing distributions by analyzing real-life data sets.

Subjects/Keywords: Entropies; Extended Weibull distribution; Hazard function; Lomax distribution; Maximum likelihood estimation; Pareto distribution; <; p>; Entropy.<; /p>; <; p>; Mathematical statistics.<; /p>; <; p>; Weibull distribution.<; /p>;

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Otunuga, O. E. (2017). The Pareto-g Extended Weibull Distribution. (Thesis). Marshall University. Retrieved from https://mds.marshall.edu/etd/1106

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Otunuga, Oluwaseun Elizabeth. “The Pareto-g Extended Weibull Distribution.” 2017. Thesis, Marshall University. Accessed October 16, 2019. https://mds.marshall.edu/etd/1106.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Otunuga, Oluwaseun Elizabeth. “The Pareto-g Extended Weibull Distribution.” 2017. Web. 16 Oct 2019.

Vancouver:

Otunuga OE. The Pareto-g Extended Weibull Distribution. [Internet] [Thesis]. Marshall University; 2017. [cited 2019 Oct 16]. Available from: https://mds.marshall.edu/etd/1106.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Otunuga OE. The Pareto-g Extended Weibull Distribution. [Thesis]. Marshall University; 2017. Available from: https://mds.marshall.edu/etd/1106

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

3. Πετρόπουλος, Κωνσταντίνος. Εκτίμηση παραμέτρων κλίμακος και ποσοστιαίων σημείων.

Degree: 2002, University of Patras; Πανεπιστήμιο Πατρών

Subjects/Keywords: Θεωρία αποφάσεων; Εκτιμητές τύπου Stein παραμέτρων κλίμακος; Εκτιμητές τύπου Stein ποσοστιαίων σημείων; Εκτιμητές τύπου Brewster ποσοστιαίων σημείων; Εκτιμητές τύπου Zidek ποσοστιαίων σημείων; Εκτιμητές τύπου Zidek παραμέτρων κλίμακος; Εκτιμητές τύπου Brewster παραμέτρων κλίμακος; Μείξη κανονικών κατανομών; Μείξη εκθετικών κατανομών; Πολυμεταβλητή t; Πολυμεταβλητή κατανομή lomax; Decision theory; Stein's estimator of a scale parameter; Brewster's estimator of a scale parameter; Zidek's estimator of a scale parameter; Zidek's estimator of quantile; Stein's estimator of quantile; Brewster's estimator of quantile; Mixture of normal distributions; Mixture of exponential distributions; Multivariate t distribution; Multivariate lomax distribution

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Πετρόπουλος, . . (2002). Εκτίμηση παραμέτρων κλίμακος και ποσοστιαίων σημείων. (Thesis). University of Patras; Πανεπιστήμιο Πατρών. Retrieved from http://hdl.handle.net/10442/hedi/14286

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Πετρόπουλος, Κωνσταντίνος. “Εκτίμηση παραμέτρων κλίμακος και ποσοστιαίων σημείων.” 2002. Thesis, University of Patras; Πανεπιστήμιο Πατρών. Accessed October 16, 2019. http://hdl.handle.net/10442/hedi/14286.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Πετρόπουλος, Κωνσταντίνος. “Εκτίμηση παραμέτρων κλίμακος και ποσοστιαίων σημείων.” 2002. Web. 16 Oct 2019.

Vancouver:

Πετρόπουλος . Εκτίμηση παραμέτρων κλίμακος και ποσοστιαίων σημείων. [Internet] [Thesis]. University of Patras; Πανεπιστήμιο Πατρών; 2002. [cited 2019 Oct 16]. Available from: http://hdl.handle.net/10442/hedi/14286.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Πετρόπουλος . Εκτίμηση παραμέτρων κλίμακος και ποσοστιαίων σημείων. [Thesis]. University of Patras; Πανεπιστήμιο Πατρών; 2002. Available from: http://hdl.handle.net/10442/hedi/14286

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.