A mathmatics on expansion of 1/(1-x)
A new theory of negative variance

(PDF)A Note ON KOOP'S PROCEDURE TO OBTAIN THE BIAS OF THE RATIO ESTIMATE
      Source: Sankhya, The Indian Journal of Statistics 1982, Volume 44, Series B, Pt.2, pp219-222.

(PDF)A METHOD OF DERIVING VALID APPROXIMATE EXPRESSIONS FOR BIAS IN RATIO ESTIMATION
      Source: Journal of Statistical Planning and Inference 6(1982) 215-225, North-Holland Publishing Company.

(PDF)ESTIMATION OF THE DIFFERENCE BETWEEN TWO PROPORTIONS IN A FINITE MULTINOMIAL POPULATION
      Source: Journal of Japan Statistical Society, 9, 1, 1979, pp.29-35.

     A NEW THEORY ON AGGREGATE IN STATISTICS(SUMMARY)
         (PDF)ORIGINAL PAPER(1) IN JAPANESE March 2001  
         (PDF)ORIGINAL PAPER(2) IN JAPANESE December 2001�@
         (PDF)ORIGINAL PAPER(2) IN JAPANESE December 2001(continued)�@
      Source of the original paper: THE BULLETIN OF ECONOMIC STUDIES, MEISEI UNIVERSITY, TOKYO
                                Volume 32, Number 1.2, March 2001 and
                                Volume 33, Number 1, December 2001.