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The mathematical theory of records whose contemporary state this book discusses had its beginnings essentially in Chandler's article in (1952). Almost over sixty years a large number of publications devoted to records have appeared. This is possibly due to the fact that we encounter this notion frequently in daily life. Widely used sports records and record values associated with natural phenomena (largest and smallest temperatures, atmospheric pressure, gale force winds, river cresting). To predict an ultimate world record in various fields the probability models are used. This book describes IGD and record values. This book defines the upper record values from IGD and some of its basic properties. A limiting theorem, recurrence relation, LR test and CI are presented in this book. At the end a simulation study by generating random numbers is presented. This book will be useful to statistics students of MS or PhD degree to develop their problem solving skills. This work is applicable for decision making agencies, weather predictability, National Archives, Building Records Appraisal Systems, Banks, and International Records Management Trusts.