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Parameter induction in continuous univariate distributions: Well-established G families Anais da ABC (AABC)
Tahir,Muhammad H.; Nadarajah,Saralees.
The art of parameter(s) induction to the baseline distribution has received a great deal of attention in recent years. The induction of one or more additional shape parameter(s) to the baseline distribution makes the distribution more flexible especially for studying the tail properties. This parameter(s) induction also proved helpful in improving the goodness-of-fit of the proposed generalized family of distributions. There exist many generalized (or generated) G families of continuous univariate distributions since 1985. In this paper, the well-established and widely-accepted G families of distributions like the exponentiated family, Marshall-Olkin extended family, beta-generated family, McDonald-generalized family, Kumaraswamy-generalized family and...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Beta-distribution; Exponentiated family; Kumaraswamy distribution; Marshall-Olkin family; McDonald distribution; Reliability properties.
Ano: 2015 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652015000200539
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Inflated Kumaraswamy distributions Anais da ABC (AABC)
CRIBARI-NETO,FRANCISCO; SANTOS,JÉSSICA.
Abstract: The Kumaraswamy distribution is useful for modeling variables whose support is the standard unit interval, i.e., (0, 1). It is not uncommon, however, for the data to contain zeros and/or ones. When that happens, the interest shifts to modeling variables that assume values in [0, 1), (0, 1] or [0, 1]. Our goal in this paper is to introduce inflated Kumaraswamy distributions that can be used to that end. We consider inflation at one of the extremes of the standard unit interval and also the more challenging case in which inflation takes place at both interval endpoints. We introduce inflated Kumaraswamy distributions, discuss their main properties, show how to estimate their parameters (point and interval estimation) and explain how testing...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Inflated distribution; Kumaraswamy distribution; Likelihood ratio test; Maximum likelihood estimation; Score test; Wald test.
Ano: 2019 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000300201
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