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Statistics should be a means of simplifying the problem by introducing statistical hypotheses into the system when the degrees of freedom of the system are quite large, even astronomical, and people do not have the ability or need to write differential equations for each degree of freedom and solve them. The introduction of statistical assumptions (or principles) leads to the fact that, although the problem is greatly simplified, the theory is incomplete. For example, if we toss a coin, we can predict its probability, but if we know all the boundary conditions, know the disturbance of any tiny air currents on the coin, and theoretically apply the principle of classical mechanics (I think classical mechanics should include relativity) to completely determine the heads and tails of the coin, so that there is no need for probability.
To illustrate the incompleteness of the statistical system, I would like to give an example: tossing two coins, we can predict that the probability that both are heads is 1 4, but if we cover one of these two coins and then observe the other coin, if this coin is heads, then the probability that both are heads becomes 1 2, and if this coin is tails, then the probability that both heads is 0.
It is thus clear that the magnitude of the probability taken by the system is related to the amount of information available to the observer, which suggests that it is expedient to describe the system in terms of probability.
Of course, this is also a fairly perfect expediency, after all, probability theory is a fairly effective means in science.
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Daily Ranking: The statistical period of daily ranking is the end time of the day at 0:00 and the start time 24 hours before 0:00 of the day.
Weekly ranking: The statistical period of weekly ranking is the end time of the current day at 0:00 and the start time 7 days before 0:00 of the current day.
Monthly ranking: The statistical period of the monthly ranking is the end time of the current day at 0:00 and the start time 30 days before 0:00 of the current day.
Annual ranking: The statistical period of the annual ranking is the end time of the current day at 0:00 and the start time 365 days before the 0:00 of the current day.
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Statistics is a comprehensive discipline. Statistics is a comprehensive science that uses means such as searching, sorting, analyzing, and describing data to infer the essence of the measured object and even the future of the object. It is also about the science of understanding the overall quantitative characteristics and quantitative relations of objective phenomena.
Statistical Origins:Statistics originated from the modern Latin statisticum collegium (parliament), the Italian statista (national or statesman) and the German statistik, and was first used by Gottfried Achenwall in 1749 to represent the study of analyzing the data of the state, that is, "the science of the state".
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Statistics is the science of measuring, collecting, sorting, summarizing, and analyzing data on the basis of data analysis in order to give correct information.
This discipline has been developed since the middle of the 17th century, and it is widely used in a wide range of disciplines, from natural sciences and social sciences to humanities, and is even used in industry and business and intelligence decision-making. With the advent of the era of big data, the face of statistics has gradually changed, and it is one of the important axes of data science that it is closely integrated with information and computing.
For example, from a set of data, it is possible to summarize and describe the concentration and discrete situation of the data, which is called descriptive statistics. In addition, the observer creates a mathematical model in the form of data to explain the randomness and uncertainty of the data, and uses it to infer the steps and populations in the study, which is called inferential statistics.
Both of these usages can be referred to as applied statistics. Mathematical statistics is the subject that underpins the discussion of the theoretical underpinnings.
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