In this work, we proposed and studied the Cubic Transmuted Gompertz (CTG) distribution using the Cubic Transmuted family of distributions which was introduced by Rahman et al. [8] and based on cubic transmutation map. We studied the statistical properties of the new distribution which includes: rth moment, moment generating function order statistics, mean, variance, Renyl entropy. The CTG distribution was fitted to a real data set to demonstrate its flexibility and tractability in modelling real life data.

The objective of this paper is to investigate the relationships between some selected macroeconomic variables and stock market returns in Nigeria. Time series data on macroeconomic variables were collected from Central Bank of Nigeria (CBN) annual statistical bulletin 2018 covering between years 1981 to 2018. The error correction model (ECM) was used to show the strength of relationship between the macroeconomic variables and stock market performance. The result of the coefficients of macroeconomic variables are negative and positive values and also significant and insignificant. Hence, there is disequilibrium in the long run and must be corrected. The coefficient of parameters estimates for short run for return and gross domestic product at lag 1 are positive while values of crude oil prices, interest rate and inflation rate at lag 1 are negative. Hence, there is short run dynamic changes in crude oil prices, interest rate and inflation rate could lead to negative changes in stock market performance. The ECM coefficient is -0.80 suggesting that any disequilibrium can be corrected at the speed or rate of 80 percent within a year. In view of this, there is long run dynamic influence running from macroeconomic variables to stock market performance in Nigeria.

In this paper, a three parameter life time model named Type II Topp-Leone Gumbel type-2 distribution which can be used to model reliability problems, fatigue life studies, and survival data has been studied. We derived explicit expressions for some of its statistical properties such as ordinary moments, generating function, incomplete moments, and order statistics. The maximum likelihood estimation technique is used to estimate the parameters of the model. The tractability of the model was illustrated by using two real life data sets. The proposed distribution provides a better fit than some well known distributions using criteria of criteria of goodness of fit.

This work introduces a new three-parameter modified extended inverted Weibull (MEIW) distribution which is a hybrid of the one-parameter inverted Weibull distribution. The density function of the MEIW can be expressed as a linear combination of the inverted Weibull densities. Some mathematical properties of the proposed MEIW model such as ordinary and incomplete moments, mean residual life, and mean waiting time, Tsallis entropy, moment generating function and order statistics are investigated. The maximum likelihood estimation method is considered to estimate the parameters of the MEIW model. The relevance of the MEIW model is studied via an application to neck cancer data.

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