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List of basic statistics topics – redirects to Outline of statistics; List of convolutions of probability distributions; List of graphical methods; List of information graphics software; List of probability topics; List of random number generators; List of scientific journals in statistics; List of statistical packages; List of statisticians ...
Operations research (or operational research) is an interdisciplinary branch of applied mathematics and formal science that uses methods such as mathematical modeling, statistics, and algorithms to arrive at optimal or near optimal solutions to complex problems; Management science focuses on problems in the business world.
However, both types of "law" may be considered instances of a scientific law in the field of statistics. What distinguishes an empirical statistical law from a formal statistical theorem is the way these patterns simply appear in natural distributions, without a prior theoretical reasoning about the data.
Law of large numbers; Law of the iterated logarithm; Law of total covariance; Law of total cumulance; Law of total variance; Le Cam's theorem; Lehmann–Scheffé theorem; Lévy's continuity theorem; Lindeberg's condition; Lyapunov's central limit theorem
Further, a foundation can be used to explain statistical paradoxes, provide descriptions of statistical laws, [1] and guide the application of statistics to real-world problems. Different statistical foundations may provide different, contrasting perspectives on the analysis and interpretation of data, and some of these contrasts have been ...
The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications of statistics. [1] [2] The theory covers approaches to statistical-decision problems and to statistical inference, and the actions and deductions that satisfy the basic principles stated for these different approaches.
Statistics is a field of inquiry that studies the collection, analysis, interpretation, and presentation of data. It is applicable to a wide variety of academic disciplines , from the physical and social sciences to the humanities ; it is also used and misused for making informed decisions in all areas of business and government .