Mathematical Statistics is one of the main sections of this science, mathematics, and is a branch that studies the methods and rules for processing certain data.In other words, it explores ways of disclosure laws, which are peculiar to a large population of similar objects based on their sample surveys.
purpose of this section is to construct methods for estimating the probability or making certain decisions about the nature of the developing events, based on the results.For a description of the data used by tables, diagrams, as well as the correlation of the field.Probabilistic models are rarely used.
Mathematical Statistics are used in various fields of science.For example, for the economy, it is important to process information about the homogeneous set of phenomena and objects.They may be products commercially available, staff, data on profits and so on. D. Depending on the nature of the mathematical results of observations, it is possible to allocate the numbers statistics, analysis functions and time series, non-numeric objects of nature, multivariate analysis.In addition, considering general and specific (related to the reduction of dependency, using the classifications, sampling) tasks.
authors of some textbooks say that the theory of mathematical statistics is a branch of the theory of probability, the other - it is an independent science that has its own goals, objectives and methods.However, in any case, its use is very extensive.
For most clearly mathematical statistics applied in psychology.Its use will enable the expert to justify plans for the experiment correctly, find the relationship between the data and summarize them avoid many logical errors, and more.It should be noted that the measure or that psychological phenomenon or property of the person without the computational procedures is often impossible.This suggests that the basics of the science requires.In other words, it can be called a base source and probability theory.
method of investigation, which is based on the consideration of the statistical data used in other areas.However, it should be noted immediately that its characteristics when applied to objects having different nature origin always distinctive.So merge into one science of physical or socio-economic statistics does not make sense.The general features of this method is to count a certain number of objects that are part of one group or another, as well as the study of the distribution of quantitative traits and application of probability theory to obtain those or other conclusions.
Elements of mathematical statistics are used in areas such as physics, astronomy, and so on. D. It can be considered the value of characteristics and parameters of the hypothesis about the coincidence of some characteristics in the two samples, the symmetry of the distribution, and more.
great role played by mathematical statistics in the sample survey.Their goal is to build a most adequate methods of estimation and hypothesis testing.At the moment of great importance in the science have computer technology.They allow not only greatly simplify the process of calculation, but also to create a simulation for reproduction or samples in the study of the suitability of the results in practice.
In general, the methods of mathematical statistics to help draw two conclusions: either take the required judgment on the nature and properties of the investigated data and their relationships, or to prove that the result is not enough to draw conclusions.
