Abstract:
In this thesis, new generalized families of distributions namely, Weibull Odd
Burr III-G (WOBIII-G), Ristic-Balakhrishnan Odd Burr III-G (RBOBIII-G), Risti ´ c-´
Balakhrishnan Marshall-Olkin-G (RBMO-G), Exponentiated Half-Logistc Odd Burr
III-G (EHL-OBIII-G) and Half-Logistic Odd Power Generalized Weibull-G (HLOPGW G) families of distributions are developed and studied in detail. Furthermore, the
mathematical and statistical properties of these new families of distributions such
as moments and moment generating functions, order statistics, probability weighted
moments, stochastic ordering and Renyi entropy are derived and studied in detail. ´
We use some of the existing known baseline models to generate some special cases
for these newly generated families of distributions. The maximum likelihood estimation technique is used to estimate model parameters and simulation experiments
are conducted to illustrate the consistency of maximum likelihood estimates. Finally
we demonstrate the efficacy and flexibility for some of the special cases under these
distributions by fitting them to some real data sets. The proposed models presents
better fits than other existing equal parameter models.
Peter, P (2024). On the generation of new generalized families of distributions with applications. Afribary. Retrieved from https://afribary.com/works/on-the-generation-of-new-generalized-families-of-distributions-with-applications
Peter, Peter "On the generation of new generalized families of distributions with applications" Afribary. Afribary, 30 Mar. 2024, https://afribary.com/works/on-the-generation-of-new-generalized-families-of-distributions-with-applications. Accessed 22 Nov. 2024.
Peter, Peter . "On the generation of new generalized families of distributions with applications". Afribary, Afribary, 30 Mar. 2024. Web. 22 Nov. 2024. < https://afribary.com/works/on-the-generation-of-new-generalized-families-of-distributions-with-applications >.
Peter, Peter . "On the generation of new generalized families of distributions with applications" Afribary (2024). Accessed November 22, 2024. https://afribary.com/works/on-the-generation-of-new-generalized-families-of-distributions-with-applications