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Masters Project Topics in Statistics
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TOPIC:
A WEIBULL-NORMAL DISTRIBUTION: ITS PROPERTIES AND APPLICATIONS
Department: Statistics (M.Sc)
Format: MS Word
Chapters: 1 - 5, Preliminary Pages, References, Abstract
Pages Numbers: 88
Price: 5000 NGN
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Project Body
ABSTRACT
The Normal distribution is a very important and well known probability distribution for dealing
with problems in several areas of life, however there are numerous situations when the
assumption of normality is not validated by the data. In this work, we propose a new model
called Weibull-Normal distribution, an extension of the normal distribution by adding two
skewness parameters to the normal distribution using the Weibull generator proposed by
Bourguignon et al., (2014). This study has derived explicit expressions for some of its basic
statistical properties such as moments, moment generating function, the characteristics function,
reliability analysis and the distribution of order statistics. The implications of the plots for the
survival and hazard functions indicate that the Weibull-Normal distribution would be appropriate
in modeling time or age-dependent events, where survival and failure rate decreases with time or
age. Also, the plots for the pdf of the distribution showed that it is negatively skewed. The
method of maximum likelihood estimation is used to estimate the parameters of our proposed
model. The usefulness of the Weibull-normal distribution has been illustrated by some
applications to two real data sets. The results showed that new distribution (Weibull-Normal
distribution) performs better (provides better fits) than the generalizations of the normal
distribution such as Kumaraswamy-Normal, Beta-Normal, Gamma-Normal, Kummer BetaNormal
and the normal distributions when the data set is negatively skewed however, the results
from the second data confirmed that this distribution is more flexible and appropriate for
modeling negatively skewed data sets.
Masters Project Topics in Statistics
A WEIBULL-NORMAL DISTRIBUTION: ITS PROPERTIES AND APPLICATIONS
Price: 5000 NGN
In Stock
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