论文信息 - Fitting the student- t distribution to grouped data, with application to a particle scattering experiment

Fitting the student- t distribution to grouped data, with application to a particle scattering experiment

Experimental data are presented for which the Student-t distribution provides a plausible model. A grouped maximum likelihood estimation approach is developed. A data set is presented that is accurately modeled by a distribution with tails heavier than a Cauchy distribution.

Richard J. Beckman | Mark E. Johnson | R. Beckman | Mark E. Johnson

[1] Calyampudi Radhakrishna Rao,et al. Linear Statistical Inference and its Applications , 1967 .

[2] F. James. Statistical Methods in Experimental Physics , 1973 .

[3] R. Fisher,et al. On the Mathematical Foundations of Theoretical Statistics , 1922 .

[4] L. S. Nelson,et al. The Nelder-Mead Simplex Procedure for Function Minimization , 1975 .

[5] C. Joachain,et al. Quantum Collision Theory , 1984 .

[6] Anthony C. Atkinson,et al. A Method for Discriminating between Models , 1970 .

[7] M. E. Johnson,et al. Generalized Burr-Pareto-Logistic distributions with applications to a uranium exploration data set , 1986 .

[8] 島村勲. C. J. Joachain: Quantum Collision Theory, North-Holland, Amsterdam, 1975, xv+710ページ, 23.5×16.5cm, 36,000円. , 1978 .

[9] D. M. Titterington,et al. Comment on “Estimating Parameters in Continuous Univariate Distributions” , 1985 .

[10] O. Kempthorne,et al. Maximum Likelihood Estimation in the Three‐Parameter Lognormal Distribution , 1976 .

[11] HighWire Press. Philosophical Transactions of the Royal Society of London , 1781, The London Medical Journal.