SU1764059A1 - Device for determining distribution low - Google Patents

Description

one

(21) 4829117/24 (22) 05.29.90 (46) 09.23.92. Bul Ms 35

(71) Ufa Aviation Institute. Sergo Ordzhonikidze

(72) Yu.E.Alypov, V.E.Gvozdev, S.V.Fatikov and D.G.Evseev

(56) USSR Copyright Certificate No. 1441418, cl. G 06 F 15/36, 1987.

(54) DEVICE FOR DETERMINING THE LAW OF DISTRIBUTION

(57) The invention relates to computing and can be used to determine the laws of distribution of random variables with a small number of observations. The aim of the invention is to improve the accuracy of the determination. For this purpose, the device builds an average of a plurality of nuclear estimates for different values of the aperture. The device contains analog-to-digital converter 1, generators 2 evenly distributed random numbers, switches 3, elements OR 4, delay elements 5, histogram generators 6, arithmetic average 7 calculation blocks, registration block 8, counter 9, comparison element 10. 1 il.

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The invention relates to computing and can be used in determining the law of distribution of random variables with a small number of observations.

The aim of the invention is to improve the accuracy of estimation of the distribution law with a small number of observations.

The drawing shows a functional diagram of the device.

The device contains an analog-to-digital converter 1, K generators of uniformly distributed random numbers 2, K switches 3, K elements OR 4, K delay elements 5, K histogram generators 6, L blocks for calculating the arithmetic average 7, recording unit 8, counter 9 and element compare 10.

The principle of nuclear estimation is the basis of the operation of the device. The construction of a core in the device is replaced by a simpler procedure of forming uniformly distributed pseudo-realizations in the vicinity (aperture) of each actual implementation. With this approach, in order to obtain the most accurate estimate, it is necessary to know exactly the aperture optimal for a given law and a given sample size, which is impossible if there are no a priori information. In this device, we construct solid estimates of the distribution density over K and different aperture values, and the resulting estimate is average by many ratings. Practical studies have shown that it is advisable to choose K 8-10, with a smooth change in apertures from 0.5 (b-a) to 0.4 (b-a), where a and b are the known limits of the interval of possible values of the estimated random signal x .

The device works as follows.

The transformation of each implementation of the random process x (t) under investigation ends with the formation at the output of the conversion end of the analog-digital converter 1 pulse that triggers the generator 2 of uniformly distributed random numbers. At the same time, using the same pulse, the switches 3 connect the outputs to the first information input. The implementation of xi (i 1,) through the switch 3 enters histogram 6 drivers, to the clock input of which a pulse is output from the output of the analog-to-digital converter 1 delayed by delay element 5. Delay element 5 is necessary to ensure synchronization of the device operation. In the i-th generator 2 (i 1, K), a series of pseudo-realizations are formed with respect to

XI for aperture i. The impulse from the output of the i-ro generator 2 corresponding switch 3 connects the output to the second information input. Pseudo Realization From Exit

The 1st generator 2, through the corresponding switch 3, enters the i-th histogram generator 6, to the clock input of which simultaneously the pulses are output from the output of the formation of the i-ro generator 2, delayed by the corresponding element 5. Thus, in the i-th histogram generator 6 an estimate of the distribution density x (t) for the aperture D | is constructed. Shapers of the same name

the histograms 6 are connected to the corresponding block for calculating the arithmetic mean 7. In blocks 7, the average is formed over a number of estimates of the apertures Dch, ... Ar, ... AK. The control of the blocks 7 is carried out by pulses from the output of the conversion end of the analog-digital converter 1.

Thus, the proposed device makes it possible to estimate the distribution density of a random process from the average of a plurality of nuclear estimates for different values of the aperture.

Claims (1)

Invention Formula A device for determining the distribution law containing the first histogram generator, the first generator of uniformly distributed random numbers, the first switch, two delay elements, the first OR element, the comparison element, a counter, the output of the first switch connected to the information input of the first histogram generator, the clock input of which through the first the delay element is connected to the output of the first OR element, the first input of the comparison element is the input of specifying the number of pseudo-implements of the device, the second input of the comparison element is connected to the counter output, characterized in that, in order to improve the accuracy, an analog-digital converter is added to it -1 generators of uniformly distributed random numbers (K is an integer the number of distribution aperture values), K-2 delay elements, K-1 OR elements, K-1 histogram formers, K-1 switches, L arithmetic average calculation units (L is the number of discretes histograms) and a registration unit, the information input of the analog-digital converter being the information input of the device, the information output of the analog-digital converter connected to the information input of the 1st generator of uniformly distributed random numbers (i 1, K) and with the first information input of the i-ro switch, the input of the aperture setting of the 1st generator of uniformly distributed random numbers is the input of the setting of the corresponding aperture value of the device, the information output of the 1st generator of uniformly distributed random numbers is connected to the second information input of the corresponding switch, the output of the 1st (I 2, K) switch is connected to the information input of the corresponding generator histogram bar, the output of the conversion end of the analog-digital converter is connected to the start input of the i-ro generator of uniformly distributed random numbers, with the first control input of the i-ro switch, with the first input of the i-ro element OR, with clock input j The -ro arithmetic average calculation unit (j1. L) and with the installation input in O of the counter, the output of the termination of the i-ro generator generation of uniformly distributed random numbers is connected to the second control input of the corresponding switch and to the second input corresponding about the OR element, the output of the end of the formation of the K-th generator of uniformly distributed random numbers connected to the counting input of the counter, the output of the 1st element OR through the 1st delay element connected to the clock input of the corresponding histogram shaper, the j-th output of the i-ro histogram shaper connected to the i-th input of the j-ro arithmetic average computing unit, the output of which is connected to the corresponding input of the registration unit, the output of the reference element is connected to the stop input of the i-ro generator of uniformly distributed random numbers