Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List


DISSERTATION--PO.pdf (2.24 MB)

ETD Abstract Container

Abstract Header

The energy goodness-of-fit test for the inverse Gaussian distribution

Ofosuhene, Patrick
http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1605273458669328

Abstract Details

2020, Doctor of Philosophy (Ph.D.), Bowling Green State University, Statistics.
The inverse Gaussian distribution is one of the most widely used distributions for modelling positively skewed data. Areas of its application includes lifetime models, cardiology, linguistics, employment service, labor dispute, finance, electrical networks hydrology, demography, and meteorology (Folks and Chhikara, 1978; Seshadri, 1993; Norman, Kotz, and Balakrishnan, 1994;Bardsley, 1980). When making statistical inference with the inverse Gaussian distribution, it is animportant practice to determine if the data fits the inverse Gaussian family. In this dissertation two new goodness-of-fit test based on energy distance are proposed. The first test called the energy goodness-of-fit test is consistent against general alternatives. Under the null hypothesis, the test statistic converges to a weighted sum of Chi-square random variable. The second proposed test is based on the independence characterization of the inverse Gaussian distribution. The proposed test utilize the distance correlation as a measure of dependence. The distance correlation test is implemented as non-parametric permutation test and requires the observations to be exchangeable under the null hypothesis. Simulation results indicates that, the energy goodness-of-fit test is more powerful compared to other test considered. However, the distance correlation based test outperforms other tests for large shape parameter values of the alternative distributions. The distance correlation based test is extended to the Pareto distribution, which is characterized by the independence of of the rth order statistic X(r) and the ratio X(s)/X(r). Simulation results indicate that, the distance correlation based test has high power when the effective sample size is large.
Maria Rizzo (Advisor)
Neil Baird (Other)
Wei Ning (Committee Member)
Junfeng Shang (Committee Member)
107 p.
Statistics
Inverse Gaussian Distribution; Goodness-of-fit; Energy statistics; Distance correlation

Recommended Citations

Citations

  • Ofosuhene, P. (2020). The energy goodness-of-fit test for the inverse Gaussian distribution [Doctoral dissertation, Bowling Green State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1605273458669328

    APA Style (7th edition)

  • Ofosuhene, Patrick. The energy goodness-of-fit test for the inverse Gaussian distribution. 2020. Bowling Green State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1605273458669328.

    MLA Style (8th edition)

  • Ofosuhene, Patrick. "The energy goodness-of-fit test for the inverse Gaussian distribution." Doctoral dissertation, Bowling Green State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1605273458669328

    Chicago Manual of Style (17th edition)

bgsu1605273458669328
454
© 2020, all rights reserved.
This open access ETD is published by Bowling Green State University and OhioLINK.