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we are doing a project on mathematics.we need a help regarding applications of statistics in mathematics.we need 4 sub topics regarding this topic.so kindly please help us out in doing this project.thank you.
Statistics are mathematical science that involves the collection, analysis, and interpretation of data. A number of specialties have evolved to apply statistics and methods to various disciplines. Certain subjects have a "statistical" meaning in their name, but they relate to the manipulations of probability distributions rather than to statistical analysis.

• Actuarial science is the discipline that applies mathematical and statistical methods to assess risk in the insurance and finance industries.
• Astrostattics is the discipline that applies statistical analysis for the understanding of astronomical data.
• Biostatistics is a branch of biology that studies biological phenomena and observations through statistical analysis, and includes medical statistics.
• Business analytics is a rapidly developing business process that applies statistical methods to (often very large) data sets to develop new insights and understanding of business performance and opportunities
• Chemometry is the science of relating measurements made in a system or chemical process with the state of the system by applying mathematical or statistical methods.
• Demography is the statistical study of all populations. It can be a very general science that can be applied to any type of dynamic population, that is, that changes with time or space.
• Econometrics is a branch of economics that applies statistical methods to the empirical study of economic theories and relationships.
• Environmental statistics are the application of statistical methods to environmental science. Climate, climate, air quality and water are included, as are studies on plant and animal populations.
• Epidemiology is the study of factors affecting the health and disease of populations, and serves as the basis and logic of interventions performed in the interest of public health and preventive medicine.
• Geostatistics is a branch of geography that deals with the analysis of data from disciplines such as petroleum geology, hydrogeology, hydrology, meteorology, oceanography, geochemistry and geography.
• Automatic learning is the subfield of computer science that formulates algorithms to make predictions from the data.
• Operational 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.
• Ecology of the population is a secondary field of ecology dealing with the dynamics of species populations and how these populations interact with the environment.
• Psychometrics is the theory and technique of educational and psychological measurement of knowledge, skills, attitudes and personality traits.
• Quality control reviews the factors involved in manufacturing and production; you can use statistical sampling of product items to help you make decisions on process control or acceptance of deliveries.
• Quantitative psychology is the science of explaining and statistically changing processes and mental behaviors in humans.
• Reliability engineering is the study of the ability of a system or component to perform its required functions under specified conditions over a specific period of time
• Statistical finance, an area of ​​economics, is an empirical attempt to shift finances from their normative roots to a positivist framework using examples from statistical physics with an emphasis on the emerging or collective properties of financial markets.
• Statistical mechanics is the application of probability theory, which includes mathematical tools to deal with large populations, the field of mechanics, which deals with the movement of particles or objects when subjected to a force.
• Statistical physics is one of the fundamental theories of physics and uses methods of probability theory to solve physical problems.
• Statistical signal processing uses the statistical properties of signals to perform signal processing tasks.
• Statistical thermodynamics is the study of the microscopic behavior of thermodynamic systems using probability theory and provides a molecular interpretation of thermodynamic magnitudes such as work, heat, free energy and entropy.