Rolling bearing performance of parameter estimation

Rolling bearing performance of nonparametric estimation: 1. Symbol to estimate symbol estimation is - in modern statistics Important non-parametric estimation can be used to estimate the center of the single sample, can also be used to estimate the relationship between the two samples. Below to analyze relationship between the two samples as an example to illustrate the estimation method. ( 1) Z structure statistics; :( 1, x( n) < x,( n) Z = { z( n) } ={ 0. 5, x,( n) =x,( n) ,我≠j∈( l, m] ,i=1,2,,m; n = 1, 2,。 ,N ( 5 - 4) ( 0, x( n)> x,( n) Type, Z; For two samples of comparative statistics, z ( n) And the first j a sample for the ith in the NTH interval compared as a result, the performance of x ( n) And x ( n) Respectively the ith a first j and a sample of the first n data, I for experimental sequence number, m for test times, n for data serial number, number n for the data. ( 2) Calculate statistics Z; Values of Z = n = 1, 2,. . . , N type, 2 ( n) And the first j a sample for the ith in performance comparison result of the NTH interval, n for data serial number, number n for the data. ( 3) According to the statistics show the sex z values and to a certain level and a standard C contrast under a certain distribution as a result, it is concluded that the relationship between the two samples. 2. Rank and estimates rank and performance estimation is used to estimate different samples to see if there is a method most used in modern statistics. 1) D structure statistics will be two different sample data in a block, according to the quantity of D. 2) Data rank of r each rank of the location of the serial number for each data, rank r. 3) The sample rank and R will rank sum of all the data in each sample, the rank of each sample and R. 4) Sample relationship analysis according to the rank and the value of R and under certain significance level a and a certain distribution of standard comparison B as a result, it is concluded that the relationship between the two samples. The following two samples as an example to show symbol estimation and rank and estimation methods. For example, there are two samples as follows ( Unit: m) Y: X: 93, 86, 95:112, 90, a sample symbols is estimated to be 93 X 1, 0, the result of 2; Y sample symbol estimation is 0, 0, 1, the result is 1; That X sample data is less than Y sample data. X sample data of rank 3 respectively. 5, 1, 5, rank and 9. 5; Y sample data rank 6 respectively, 2, 3. 5 rank and 11. 5; That X sample data is less than Y sample data.