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5. CONCLUSIONS Having calculated the limits of error of the value of Υξ obtained by the YERG method, we seem to come to the conclusion that the discrepancy obtained at the Pennsylvania State University between the values of Υξ obtained from different values of the lag hes within the hmits of the probable statistical error. The values found by the other methods also he within the hmits of error of the YERG method. There are some directions, however, in which investigations ought to be continued.

Methods Based on the Laguerre Polynomial Expansion (NAKAGAMI, TANAKA and KANEHISA, 1 9 5 7 ) Generally speaking, the distribution function of a variate defined in the positive range is usually expansible in terms of the Laguerre polynomials. Making use of this form of expansion, we are able to establish the method of approximating to a given distribution of any positive variate by means of the m-distribution. On this form of expansion we give some brief accounts in the following. (a) A more general form of the expansion.

No. 24. Elec. Wave Sec, Res. & Dev. Dept. D. Rep, Information Theory Res. Gommit. Japan. Ann, Gonv, Record, No. 10. Ann. Gonv, Record, No. 479. NAKAGAMI M . and WADA S . 1953 NAKAGAMI M . and Υοκοι Κ. 1953 NAKAGAMI M . and NISHIO M . 1953 NAKAGAMI M . 1954 NAKAGAMI M . and NISHIO M . NAKAGAMI M . and NISHIO M . 1954a 1954b * Ann. Gonv. Record is an abbreviation for the Record at the Annual Joint Convention of Three Institutes of Electrical Engineers of Japan. , Nismo Μ. and Υοκοι Κ. , TANAKA Κ.

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