Topp-Leone distribution is a continuous unimodal distribution used for modeling lifetime phenomena. Topp-Leone distribution has a J-shaped density function with a hazard function of bathtub-shaped and has wide range of applications in reliability fields. This distribution has attracted recent attention for the statistician but has not been discussed in detail in Bayesian approach. This paper is concerned with the estimation of shape parameter of Topp-Leone Distribution using various Bayesian approximation techniques like normal approximation, Tierney and Kadane (T-K) Approximation. Different informative and non-informative priors are used to obtain the Baye’s estimate of parameter of Topp-Leone Distributions under different approximation techniques. A simulation study has also been conducted for comparison of Baye’s estimates obtained under different approximation using different priors.
In order to analyze and compare market in the last decades- after the 1987 market crash and 2008 financial crisis in manufacturing trading industry-the empirical research is brought forward to daily industrial indices of market sales volatility using distortion measures fluctuation analysis. This work measures the market risk by calculating the distortion strategy using the survival function of Turkey Lambda distribution and true reliability dimension which can directly dictate roughness of the logarithmic returns. Our distortion analysis uses mined data from unilever trading industry Nigeria as a case study to optimize and re-optimize risk. According to the result; the largest fluctuation transaction execution and appraisal are frequent in distortion measure volatility and non-distortion (true reliability rate) market volatility is larger than distortion market volatility.
Today
Yesterday
This week
This month
All days
Number of views: 705