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Making statistical thinking more productive

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Abstract

The use of the concept of plausibility is proposed for the comparison of psychological or physical images of an object with extremely complex structure. This concept helps the process of developing new image of an object that is not captured by the past observational data. It is argued that this process is the essential aspect of statistical thinking developed by original thinkers in various fields of scientific research with the aid of a model. The use of plausibility helps this process of thinking. A practical example is given by the analysis of golf swing motion.

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References

  • Akaike, H. (1973). Information theory and an extension of the maximum likelihood principle. In B. N. Petrov, F. Csaki (Eds.), Proceedings of the second international symposium on information theory (pp. 267–281). Budapest: Akademiai Kiado.

  • Akaike, H. (1997). On the role of statistical reasoning in the process of identification. In Y. Sawaragi, S. Sagara (Eds.), SYSID’97’ 11th IFAC symposium on system identification (Vol. 1, pp. 1–8). International federation of automatic control. New York: Pergamon Press.

  • Akaike H. (2001) Golf swing analysis: An experiment on the use of verbal analysis in statistical reasoning. Annals of the Institute of Statistical Mathematics 53: 1–10

    Article  MATH  MathSciNet  Google Scholar 

  • Boltzmann, L. (1878). Weitere Bemerkungen uber einige Probleme der mecahnischen Warmethorie. Wissenschaftliche Abhandlungen von Ludwig Boltzmann Band II (pp. 250–288). New York: Chelsea Publishing Company.

  • Boltzmann, L. (1902). Model. In B. Mc Guinness (Ed.), Encyclopedia Britanica (10th ed.). English translation included in Ludwig Boltzmann theoretical physics and philosophical problems (1974). Dordrecht: D. Reidel Publishing Company.

  • Buchler, J. (Ed.). (1955). Philosophical writings of Pierce. New York: Dover.

  • Fisher R.A. (1922) On the mathematical foundations of theoretical statistics. Philosophical Transactions of the Royal Society of London 222: 309–368

    Google Scholar 

  • Floyd, R. T., Thompson, C. W. (1998). Manual of structural kinesiology (13th ed.). Singapore: WCB/McGraw-Hill.

  • Hadamard, J. (1996). The mathematician’s mind. USA: Princeton University Press, Princeton Science Library.

  • Merton R.K., Barber E. (2004) The travels and adventures of serendipity. Princeton University Press, Princeton

    Google Scholar 

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Authors and Affiliations

  1. 26-17 Inarimae, Tsukuba, 305-0061, Japan

    Hirotugu Akaike

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  1. Hirotugu Akaike
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Correspondence to Hirotugu Akaike.

Additional information

This paper is a completely revised version of a paper presented at the International Symposium on Skill Science 2007, held at Keio University, Tokyo, on September 18, 2007, under the title “Statistical Thinking and Golf Swing Analysis”.

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Akaike, H. Making statistical thinking more productive. Ann Inst Stat Math 62, 3–9 (2010). https://doi.org/10.1007/s10463-009-0238-0

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  • DOI: https://doi.org/10.1007/s10463-009-0238-0

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