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Random fluctuations of response rate

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Abstract

A simple model for fluctuating interresponse times is developed and studied. It involves a mechanism that generates regularly spaced excitations, each of which can trigger off a response after a random delay. The excitations are not observable, but their periodicity is reflected in a regular patterning of responses. The probability distribution of the time between responses is derived and its properties are analyzed. Several limiting cases are also examined.

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References

  1. Arley, N. and Buch, K. R.Introduction to the theory of probability and statistics. New York: Wiley, 1950.

    Google Scholar 

  2. Brandauer, C. The effects of uniform probabilities of reinforcement upon the response rate of the pigeon. Unpublished doctoral thesis. Columbia University, 1958.

  3. Brink, F., Bronk, D., and Larrabee, M. Chemical excitation of nerve.Ann. N. Y. Acad. Sci., 1946,47, 457–485.

    Google Scholar 

  4. Feller, W.Probability theory and its applications. (1st ed.) New York: Wiley, 1950.

    Google Scholar 

  5. Ferster, C. and Skinner, B. F.Schedules of reinforcement. New York: Appleton-Century-Crofts, 1957.

    Google Scholar 

  6. Hartline, H. K. The nerve messages in the fibers of the visual pathway.J. opt. Soc. Amer., 1940,30, 239–247.

    Google Scholar 

  7. Hill, R. T. Operant behavior. Differential reinforcement of low rate responding. Report of Lederle Laboratories, American Cyanamid Co., Pearl River, N. Y., P. E. Vol. 4, 11/10/59, pp. 383–415.

  8. Hoel, P. G.Introduction to mathematical statistics. (2nd ed.) New York: Wiley, 1954.

    Google Scholar 

  9. Hunt, C. C. and Kuno, M. Background discharge and evoked response of spinal interneurones.J. Physiol., 1959,147, 364–384.

    Google Scholar 

  10. Mood, A.Introduction to the theory of statistics. New York: McGraw-Hill, 1950.

    Google Scholar 

  11. Mueller, C. G. Theoretical relationships among some measures of conditioning.Proc. Nat. Acad. Sci., 1950,36, 123–130.

    Google Scholar 

  12. Widder, D.Advanced calculus. New York: Prentice-Hall, 1947.

    Google Scholar 

  13. Wilks, S. S.Mathematical statistics. Princeton: Princeton Univ. Press, 1943.

    Google Scholar 

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This paper was completed while the writer was a visiting summer scientist at the Lincoln Laboratory, Lexington, Mass.

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McGill, W.J. Random fluctuations of response rate. Psychometrika 27, 3–17 (1962). https://doi.org/10.1007/BF02289660

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  • DOI: https://doi.org/10.1007/BF02289660

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