The thesis is primarily concerned with the construction of non-linear time series models and their applications in real-world data. Non-linear models excel at accommodating non-Gaussian and heavy tailed distributions ...

The thesis mainly focuses on the development of new lifetime distributions which are parsimonious and explores their ageing properties based on failure rate. The principle of parsimonious modeling of lifetimes has regained ...

This thesis delves into the profound area of geometric stable (GS) laws, which emerge as a critical class within the framework of random summation schemes when the number of terms follows geometric distribution. These ...