There are several types of ordered random variables like order statistics, record values, sequential order statistics etc. which are used in different fields of application. Generalized order statistics and dual generalized order statistics are actually unifications of some ordered and reversed ordered random variables respectively. So study of generalized and dual generalized order statistics is actually a simultaneous study of these ordered random variables. The work presented in this book is based on the moments of generalized and dual generalized order statistics with some applications for some specific distributions and also for some types of general class of distributions.