What is mathematical statistics? What is its principle and theoretical basis?
Mathematical statistics is a technology to analyze a large number of data by using relevant mathematical knowledge, and its theoretical basis is probability theory. Probability theory is developed by observing and summarizing the phenomena in this world. A simple example is to toss a coin. If someone A throws a coin 1000 times, and then B wants to know how many times it is heads and how many times it is tails, then according to the probability theory, you know that the probability of it appearing heads and tails is 0.5, then you will tell B that about 5000 times it is heads and 5000 times it is tails. Although it is not very accurate, it is not too far from the truth. For a complicated example, I want to know the qualification rate of a light bulb factory. If he produces 200,000 light bulbs, how do you know how many of them are defective? In other words, what is the possibility of 6.5438+0 million defective products? What is the possibility of 5000 defective products? 500, 50, 5? If we analyze the previous production data of this factory, we can analyze it according to the relevant probability theory knowledge. Similarly, although it is not very accurate, it will not be too bad. And you can even determine the range of the difference, for example, you can know that the difference between the number of defective products you judge and the actual number is not more than five. At this point, you may feel that there is nothing wrong with mathematical statistics, as if it is judged by experience. In fact, probability theory is developed from this, but it has risen to the height of mathematics and summed up very delicate and rigorous laws, which are far from being comparable to personal intelligence and rich experience. I can only explain it to this extent. I don't know if it's what you want to know.