Explanipedia

A Revised Bimodal Generalized Extreme Value Distribution: Theory and Climate Data Application Open

Cira E. G. Otiniano, Mathews N. S. Lisboa, Terezinha K. A. Ribeiro · 2025

The bimodal generalized extreme value (BGEV) distribution was first introduced in 2023. This distribution offers greater flexibility than the generalized extreme value (GEV) distribution for modeling extreme and heterogeneous (bimodal) eve…

Probability Distribution of Extreme Events in Complex Systems: Application to Climate Data Open

Cira E. G. Otiniano, Yasmin S. Oliveira, Yuri Sampaio Maluf · 2024

It has been observed that the statistical structure of certain climate vectors, such as wind speed versus air density and temperature versus humidity, may exhibit more than one mode due to the complexity of climate systems. This study prop…

Bridging Extremes: The Invertible Bimodal Gumbel Distribution Open

Cira E. G. Otiniano, Eduarda B. Silva, Raul Matsushita, Alan Silva · 2023

This paper introduces a novel three-parameter invertible bimodal Gumbel distribution, addressing the need for a versatile statistical tool capable of simultaneously modeling maximum and minimum extremes in various fields such as hydrology,…

On the Bimodal Gumbel Model with Application to Environmental Data Open

Cira E. G. Otiniano, Roberto Vila, Pedro Brom, Marcelo Bourguignon · 2023

The Gumbel model is a very popular statistical model due to its wide applicability for instance in the course of certain survival, environmental, financial or reliability studies. In this work, we have introduced a bimodal generalization o…

The return period of heterogeneous climate data with a new invertible distribution Open

Beatriz Leal Simões e Silva, Cira E. G. Otiniano, Eduardo Yoshio Nakano · 2023

One of the most widely used risk measures in environmental studies is the return period ( T ) associated with a given level of return. Its calculation requires knowledge of the distribution function fitted to the data. Thus, the efficiency…

A Bimodal Model for Extremes Data Open

Cira E. G. Otiniano, Bianca P. Sousa, Roberto Vila, Marcelo Bourguignon · 2021

In extreme values theory, for a sufficiently large block size, the maxima distribution is approximated by the generalized extreme value (GEV) distribution. The GEV distribution is a family of continuous probability distributions, which has…

On the bimodal Gumbel model with application to environmental data Open

Cira E. G. Otiniano, Roberto Vila, Pedro Brom, Marcelo Bourguignon · 2021

The Gumbel model is a very popular statistical model due to its wide applicability for instance in the course of certain survival, environmental, financial or reliability studies. In this work, we have introduced a bimodal generalization o…

Non linear discriminant based on mixture of distributions: an application in return time of heterogeneous maximum flows observed in the Paranapanema river basin-Brazil Open

Cira E. G. Otiniano, Evelyn C. Cruvinel, Carlos Henrique Ribeiro Lima · 2020

Neste trabalho, vazoes máximas observadas na bacia do rio Paranapanema sao modelados por uma mistura de duas distribuicoes GEV cujas componentes correspondemás subpopulacoes de verao e inverno. A funcao discriminante nao linear permitiu co…

MODELOS BIVARIADOS DE EVENTOS CLIMÁTICOS EXTREMOS DO DF Open

S. S. CORDEIRO, Cira E. G. Otiniano · 2020

In Brazil, universities have an important role in technological development researches, but a few numbers of patent registrations. This study evaluated if the knowledge of professionals from the university about patents may be related to t…

Random variable functions used in hydrology Open

Cira E. G. Otiniano, Yuri Sampaio Maluf · 2019

In this work, expressions of the cumulative distribution function of Y X, Y/X and X/(X + Y ) for continuous dependent random variables with supported on a unbounded and bounded interval are derived. The dependence approach is based on copu…

Modelo de regressao Weibull discreto com fracao de cura em dados de sobrevivencia Open

Carolina Silva, Cira E. G. Otiniano, Eduardo Yoshio Nakano · 2019

This paper presents a regression model for discrete time data with cure fraction. For this purpose, we considered a mixture model, in which times are modeled through the discrete Weibull distribution and the cure probability modeled with c…

The transmuted GEV distribution: properties and application Open

Cira E. G. Otiniano, Bianca S. de Paiva, Daniele S. B. Martins Netob · 2019

The transmuted generalized extreme value (TGEV) distribution was first introduced by Aryal and Tsokos (Nonlinear Analysis: Theory, Methods & Applications, 71, 401–407, 2009) and applied by Nascimento et al. (Hacettepe Journal of Mathematic…

A note about the delta-moment in ARMA-APARCH models with stable conditional distributions and GEV Open

Thiago do Rêgo Sousa, Cira E. G. Otiniano, Sílvia R. C. Lopes · 2018

A note about the delta-moment in ARMA

Una nota sobre el delta-ésimo momento en modelos ARMA-APARCH con distribuciones condicionales estables y GEV Open

Tanara Vieira Sousa, Cira E. G. Otiniano, Silvia R. C. Lopes · 2018

In a ARMA-APARCH time series model with innovations Z, the delta-stationarity condition of the APARCH process involves the delta-th moment of the difference between the absolute value of the innovations with the product of the asymmetry pa…

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