Banca de DEFESA: CESAR LEONARDO BARBOSA DA SILVA

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : CESAR LEONARDO BARBOSA DA SILVA
DATE: 23/01/2023
TIME: 14:00
LOCAL: Remoto
TITLE:

A new family of distribution based on M-O transformation

KEY WORDS:

Sistema Dinâmico, SIR, qSIR, perturbation, Equilíbrio Endêmico

PAGES: 100
BIG AREA: Ciências Exatas e da Terra
AREA: Probabilidade e Estatística
SUMMARY:

This work, in the area of Probability and Mathematical Statistics, has its nucleus based on the Theory of New 

Distributions, its properties and applications. A sequence of facts is established, ranging from a brief introductory

 summary, dealing with the need for new distributions, to the proposition of a class of transformations, among which, 

the well-known Marshal-Olkin, whose expression can be derived. This class, then, is applied according to the 

aforementioned transformation, to known distributions such as, for example, Exponential, Weibull, among others. 

Some properties are studied according to a log-logistic geometric family, developed by do Carmo, as well as a 

geometric emphasis associated with the classification of the risk function, of the distributions under analysis, 

according to the regions in which their curves - of the risk functions -, are immersed, according to a criterion

 developed by Qian. Before, however, the actual applications, some mathematical properties related to moment

 calculations are presented, making reference to canonical methods, as well as methods under development,

 using non-canonical techniques, and use of special Spence functions. The applications, an essential part of the

 work, are interdisciplinary in nature, moving between epidemiological data from the current global crisis, due 

to Covid-19, passing through climatology and reflecting the intense rains that afflicted the State of Pernambuco,

 in particular, in the year 2022 The new distributions are also applied to physical systems that demand statistical 

treatment, that is, the problem of turbulence. Times of transitions from hydrodynamic regimes to turbulence are 

analyzed. These studies play an important role in theoretical science and applications ranging from the construction

of airplanes and ships, to biological processes involving the dynamics of blood in the heart.

COMMITTEE MEMBERS:
Externo à Instituição - CÍCERO CARLOS RAMOS DE BRITO - IFPE
Externo à Instituição - FRANK SINATRA GOMES DA SILVA - UFRPE
Externo à Instituição - HEMILIO FERNANDES CAMPOS COELHO - UFPB
Externo à Instituição - MARCELO BOURGUIGNON PEREIRA - UFRN
Presidente - 2991947 - MARIA DO CARMO SOARES DE LIMA