Introducing “NR-Statistics”

Abstract

The existing volume of literature on the classical subject STATISTICS is renamed by a new nomenclature called by “R-Statistics”. The chapter then introduces a new dimension in the subject STATISTICS called by “NR-Statistics”. The subject STATISTICS is then reshaped as the union of the two topics: “R-Statistics” and “NR-Statistics”. The “NR-Statistics” has grown (and will grow in future) mainly on the basis of soft-computing techniques using Generalized & Hybrid Set like Structures viz. Fuzzy Set, Intuitionistic Fuzzy Set, Bag, Multiset, Solid Matrix, Solid Latrix, Solid Hematrix, Solid Helatrix etc. In the subject STATISTICS in its newly proposed shape, populations are divided into two categories: R-Population and NR-Population. If a population consists of real number data (n-dimensional) only then it is of category ‘R-Population', and if a population does not fall into the category of ‘R-Population' then it is of the category ‘NR-Population'. Thus NR-Population may contain R-population too. The “Theory of NR-Statistics” is a new direction in Statistics which in fact other half of the subject unearthed now for rigorous study and research. The ‘Big Data Statistics' is a new era where the population (R or NR) consist of big data.