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Probabilistic-statistical programs from “applied statistics”

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Abstract

A survey is made of 227 papers contained in the section on algorithms in the journal “Applied Statistics” and published in 1968–1987. The papers contain descriptions of statistical algorithms and the texts of the corresponding programs in the languages FORTRAN and ALGOL. The programs realize methods relating to the estimation of parameters, testing hypotheses, regression and variance analysis, planning of experiments, analysis of time series, calculation of distribution functions, etc.

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Literature cited

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  52. G. W. Cran, “Algorithm AS 158. Calculation of the probabilities P(ℓ, k) for the simply ordered alternative,” Appl. Statist.,30, No. 1, 85–91 (1981).

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  56. C. S. Davis and M. A. Stephens, “Algorithm AS 128. Approximating the covariance matrix of normal order statistics,” Appl. Statist.,27, No. 2, 206–212 (1978).

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  57. C. S. Davis and M. A. Stephens, “Algorithm AS 192. Approximate percentage points using Pearson curves,” Appl. Statist.,32, No. 3, 322–327 (1983).

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  58. A. M. Dean, “Algorithm AS 224. Combining comonent designs to form a design with several orthogonal blocking factors,” Appl. Statist.,36, No. 2, 228–234 (1987).

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  63. D. Y. Downham, “Algorithm AS 29. The runs up and down test,” Appl. Statist.,19, No. 2, 190–192 (1970).

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  65. R. W. Farebrother, “Algorithm AS 79. Gram-Schmidt regression,” Appl. Statist.,23, No. 3, 470–476 (1974).

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  66. R. W. Farebrother, “Algorithm AS 104. BLUS residuals,” Appl. Statist.,25, No. 3, 317–322 (1976).

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  67. R. W. Farebrother, “Algorithm AS 153. Pan's procedure for the tail probabilities of the Durbin-Watson statistic,” Appl. Statist.,29, No. 2, 224–227 (1980).

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  68. R. W. Farebrother, “Algorithm AS 204. The distribution of a positive linear combination of χ2 random variables,” Appl. Statist.,33, No. 3, 332–339 (1984).

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  69. B. N. Flury and G. Constantine, “Algorithm AS 211. The F-G diagonalization algorithm,” Appl. Statist.,34, No. 2, 177–183 (1985).

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  70. A. Francik and J. Kościelniak, “Algorithm AS 186. Fast algorithm of data permutation in discrete fast Fourier transform,” Appl. Statist.,31, No. 3, 327–330 (1982).

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  71. P. R. Freeman, “Algorithm AS 26. Ranking an array of numbers,” Appl. Statist.,19, No. 1, 111–113 (1970).

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  72. P. R. Freeman, “Algorithm AS 59. Hypergeometric probabilities,” Appl. Statist.,22, No. 1, 130–133 (1973).

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  73. P. R. Freeman, “Algorithm AS 145. Exact distribution of the largest multinomial frequency,” Appl. Statist.,28, No. 3, 333–336 (1979).

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  74. E. L. Frome, “Algorithm AS 73. Cross-spectrum smoothing via the finite Fourier transform,” Appl. Statist.,23, No. 2, 238–244 (1974).

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  75. E. L. Frome, “Algorithm AS 171. Fisher's exact variance test for the Poisson distribution,” Appl. Statist.,31, No. 1, 67–71 (1982).

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  76. G. Gardner, A. C. Harvey, and G. D. A. Phillips, “Algorithm AS 154. An algorithm for exact maximum likelihood estimation of autoregressive-moving average models by means of Kaiman filtering,” Appl. Statist.,29, No. 3, 311–322 (1980).

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  77. M. J. Garside, “Algorithm AS 37. Inversion of a symmetric matrix,” Appl. Statist.,20, No. 1, 111–112 (1971).

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  78. M. J. Garside, “Algorithm AS 38. Best subset search,” Appl. Statist.,20, No. 1, 112–115 (1971).

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  79. J. F. Gentleman, “Algorithm AS 88. Generation ofNCR combinations by simulating nested FORTRAN DO loops,” Appl. Statist.,24, No. 3, 374–376 (1975).

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  80. J. F. Gentleman, “Algorithm AS 130. Moving statistics for enhanced scatter plots,” Appl. Statist.,27, No. 3, 354–358 (1978).

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  81. W. M. Gentleman, “Algorithm AS 75. Basic procedures for large, sparse or weighted linear least squares problems,” Appl. Statist.,23, No. 3, 448–454 (1974).

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  82. E. R. Golder, “Algorithm AS 98. The spectral test for the evaluation of congruential pseudo-random generators,” Appl. Statist.,25, No. 2, 173–180 (1976).

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  83. J. C. Gower, “Algorithm AS 1. Simulating multidimensional arrays in one dimension,” Appl. Statist.,17, No. 2, 180–185 (1968).

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  84. J. C. Gower, “Algorithm AS 18. Evaluation of marginal means,” Appl. Statist.,18, No. 2, 197–199 (1969).

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  85. J. C. Gower, “Algorithm AS 19. Analysis of variance for a factorial table,” Appl. Statist.,18, No. 2, 199–202 (1969).

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  86. J. C. Gower, “Algorithm AS 23. Calculation of effects,” Appl. Statist.,18, No. 3, 287–290 (1969).

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  87. J. C. Gower, “Algorithm AS 78. The mediancentre,” Appl. Statist.,23, No. 3, 466–470 (1974).

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  88. J. C. Gower, “Algorithm AS 82. The determinant of an orthogonal matrix,” Appl. Statist.,24, No. 1, 150–153 (1975).

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  89. R. G. T. Grafton, “Algorithm AS 157. The runs-up and runs-down tests,” Appl. Statist.,30, No. 1, 81–85 (1981).

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  90. P. Griffiths and I. D. Hills (eds.), Applied Statistics Algorithms, Ellis Hoorwood Ltd., Chichester (1985).

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  91. M. Haber, “Algorithm AS 207. Fitting general log-linear model,” Appl. Statist.,33, No. 3, 358–362 (1984).

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  93. S. J. Haberman, “Algorithm AS 57. Pritning multidimensional tables,” Appl. Statist.,22, No. 1, 118–126 (1973).

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  94. W. Härdle, “Algorithm AS 222. Resistant smoothing using the fast Fourier transform,” Appl. Statist.,36, No. 1, 104–111 (1987).

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  95. J. A. Hartigan and M. A. Wong, “Algorithm AS 136. A K-means clustering algorithm,” Appl. Statist.,28, No. 1, 100–108 (1978).

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  96. P. M. Hartigan, “Algorithm AS 217. Computation of the dip statistic to test for unimodality,” Appl. Statist.,34, No. 3, 320–325 (1985).

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  97. A. C. Harvey and C. R. McKenzie, “Algorithm AS 182. Finite sample prediction from ARIMA processes,” Appl. Statist.,31, No. 2, 180–187 (1982).

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  98. D. M. Hawkins, “Algorithm AS 72. Computing mean vectors and dispersion matrices in multivariate analysis of variance,” Appl. Statist.,23, No. 2, 234–238 (1974).

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  99. M. J. R. Healy, “Algorithm AS 6. Triangular decomposition of a symmetric matrix,” Appl. Statist.,17, No. 2, 195–197 (1968).

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  100. M. J. R. Healy, “Algorithm As 7. Inversion of a positive semi-definite symmetric matrix,” Appl. Statist.,17, No. 2, 198–199 (1968).

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  102. R. M. Heiberger, “Algorithm AS 127. Generation of random orthogonal matrices,” Appl. Statist.,27, No. 2, 199–206 (1978).

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  103. C. Herraman, “Algorithm AS 11. Normalizing a symmetric matrix,” Appl. Statist.,17, No. 3, 287–288 (1968).

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  104. C. Herraman, “Algorithm AS 12. Sum of squares and products matrix,” Appl. Statist.,17, No. 3, 289–292 (1968).

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  105. M. A. Hidiroglou and G. B. Gray, “Algorithm AS 146. Construction of joint probability of selection for symmetric p.p.c. sampling,” Appl. Statist.,29, No. 1, 107–112 (1980).

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  106. I. D. Hill, “Algorithm AS 31. Operating characteristic and average sample size for binomial sequential sampling,” Appl. Statist.,19, No. 2, 197–203 (1970).

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  107. I. D. Hill, “Algorithm AS 39. Arrays with a variable number of dimensions,” Appl. Statist.,20, No. 1, 115–117 (1971).

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  108. I. D. Hill, “Algorithm AS 66. The normal integral,” Appl. Statist.,22, No. 3, 424–427 (1973).

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  109. I. D. Hill, “Algorithm AS 100. Normal-Johnson and Johnson-normal transformations,” Appl. Statist.,25, No. 2, 190–192 (1976).

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  110. I. D. Hill, R. Hill, and R. L. Holder, “Algorithm AS 99. Fitting Johnson curves by moments,” Appl. Statist.,25, No. 2, 180–189 (1976).

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  111. I. D. Hill and R. Peto, “Algorithm AS 35. Probabilities derived from finite populations,” Appl. Statist.,20, No. 1, 99–105 (1971).

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  112. T. R. Hopkins, “Algorithm AS 193. A revised algorithm for the spectral test,” Appl. Statist.,32, No. 3, 328–335 (1983).

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  113. T. R. Hopkins, P. H. Welch, and J. Köllerström, “Algorithm AS 188. Estimation of the order of dependence in sequences,” Appl. Statist.,32, No. 2, 185–196 (1983).

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  114. J. R. M. Hosking, “Algorithm AS 215. Maximum-likelihood estimation of the parameters of the generalized extreme-value distribution,” Appl. Statist.,34, No. 3, 301–310 (1985).

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  115. B. Jones, “Algorithm AS 156. Combining two component designs to form a row-and-column design,” Appl. Statist.,29, No. 3, 334–337 (1980).

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  116. P. Kent, “Algorithm AS 141. Inversion of a symmetric matrix in regression models,” Appl. Statist.,28, No. 2, 214–217 (1979).

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  117. M. D. Krailo and M. C. Pike, “Algorithm AS 196. Conditional multivariate logistic analysis of stratified case-control studies,” Appl. Statist.,33, No. 1, 95–103 (1984).

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  118. W. J. Krzanowski, “Algorithm AS 28. Transposing multiway structures,” Appl. Statist.,19, No. 1, 115–118 (1970).

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  119. S. W. Lagakos and M. H. Kuhns, “Algorithm AS 125. Maximum likelihood estimation for censored exponential survival data with covariates,” Appl. Statist.,27, No. 2, 190–197 (1978).

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  120. V. K. Lagoo, “Algorithm AS 25. Classification of means from analysis of variance,” Appl. Statist.,18, No. 3, 294–298 (1969).

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  121. D. P. Laurie, “Algorithm AS 175. Cramér-Wold factorization,” Appl. Statist.,31, No. 1, 86–93 (1982).

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  122. B. L. Leathers, “Algorithm AS 114. Computing the numerator of association when the data are ordered categories,” Appl. Statist.,26, No. 2, 211–213 (1977).

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  123. B. L. Leathers, “Algorithm AS 119. Tabulating sparse joint frequency distributions,” Appl. Statist.,26, No. 3, 364–368 (1977).

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  124. B. L. Leathers, “Algorithm AS 131. Tabulating frequency distributions for variables with structured code sets,” Appl. Statist.,27, No. 3, 359–362 (1978).

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  125. Tze-San Lee, “Algorithm AS 223. Optimum ridge parameter selection,” Appl. Statist.,36, No. 1, 112–118 (1987).

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  126. F. B. Leech, “Algorithm AS 33. Calculation of hypergeometric sample sizes,” Appl. Statist.,19, No. 3, 287–289 (1970).

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  127. R. V. Lenth, “Algorithm AS 226. Computing of hypergeometric sample sizes,” Appl. Statist.,36, No. 2, 241–244 (1987).

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  128. B. Leventhal, “Algorithm AS 107. Operating characteristics and average sampling number for a general class of sequential sampling plans,” Appl. Statist.,26, No. 1, 98–106 (1977).

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  129. P. Lin Shang, “Algorithm AS 185. Automatic model selection in contingency tables,” Appl. Statist.,31, No. 3, 317–326 (1982).

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  130. P. Lin Shang and R. B. Bendel, “Algorithm AS 213. Generation of population correlation matrices with specified eigenvalues,” Appl. Statist.,34, No. 2, 193–198 (1985).

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  131. R. E. Lund, “Algorithm AS 152. Cumulative hypergeometric probabilities,” Appl. Statist.,29, No. 2, 221–223 (1980).

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  132. R. E. Lund and J. R. Lund, “Algorithm AS 190. Probabilities and upper quantiles for the Studentized range,” Appl. Statist.,32, No. 2, 204–210 (1983).

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  133. E. D. Lustbader and R. K. Stodola, “Algorithm AS 160. Partial and marginal association in multidimensional contingence tables,” Appl. Statist.,30, No. 1, 97–105 (1981).

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  134. R. R. Macdonald, “Algorithm AS 201. Combined significance test of differences between conditions and ordinal predictions,” Appl. Statist.,33, No. 2, 245–248 (1984).

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  135. G. MacKezie and M. O'Flaherty, “Algorithm AS 173. Direct design matrix generation for balanced factorial experiments,” Appl. Statist.,31, No. 1, 74–80 (1982).

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  136. K. L. Majunder and G. P. Bhattacharjee, “Algorithm AS 63. The incomplete beta integral,” Appl. Statist.,22, No. 3, 409–411 (1973).

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  137. K. L. Majunder and G. P. Bhattacharjee, “Algorithm AS 64. Inverse of the incomplete beta function ratio,” Appl. Statist.,22, No. 3, 411–414 (1973).

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  138. K. V. Mardia and P. J. Zemroch, “Algorithm AS 80. Spherical statistics,” Appl. Statist.,24, No. 1, 144–146 (1975).

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  139. K. V. Mardia and P. J. Zemroch, “Algorithm AS 81. Circular statistics,” Appl. Statist.,24, No. 1, 147–150 (1975).

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  140. K. V. Mardia and P. J. Zemroch, “Algorithm AS 84. Measures of multivariate skewness and kurtosis,” Appl. Statist.,24, No. 2, 262–265 (1975).

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  141. K. V. Mardia and P. J. Zemroch, “Algorithm AS 86. The von Mises distribution function,” Appl. Statist.,24, No. 2, 267–272 (1975).

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  142. N. W. A. Marsh, “Algorithm AS 227. Efficient generation of all binary patterns by Gray counting,” Appl. Statist.,36, No. 2, 245–249 (1987).

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  143. E. O. Martinson and M. A. Hamdan, “Algorithm AS 87. Calculation of the polychoric estimate of correlation in contingency tables,” Appl. Statist.,24, No. 2, 272–278 (1975).

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  144. N. S. Matloff, “Algorithm AS 148. The jacknife,” Appl. Statist.,29, No. 1, 115–117 (1980).

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  145. L. L. McDonald and H. R. Bauer, III, “Algorithm AS 161. Critical regions of an unconditional nonrandomized test of homogeneity in 2×2 contingency tables,” Appl. Statist.,30, No. 2, 182–189 (1981).

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  146. C. A. McGilchrist, “Algorithm AS 34. Sequential inversion of band matrices,” Appl. Statist.,19, No. 3, 290–292 (1970).

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  147. M. L. McLaren, “Algorithm AS 94. Coefficients of the zonal polynomials, Appl. Statist.,25, No. 1, 82–87 (1976).

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  148. A. I. McLeod and P. R. H. Sales, “Algorithm AS 191. An algorithm for approximate likelihood calculation of ARMA and seasonal ARMA models,” Appl. Statist.,32, No. 2, 211–223 (1983).

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  149. K. McPherson, “Algorithm AS 67. The evaluation of absorption probabilities in sequential binomial sampling,” Appl. Statist.,23, No. 1, 83–86 (1974).

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  150. G. Mélard, “Algorithm AS 197. A fast algorithm for the exact likelihood of autore-gressive-moving average models,” Appl. Statist.,33, No. 1, 104–114 (1984).

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Translated from Itogi Nauki i Tekhniki, Seriya Teoriya Veroyatnostie, Matematicheskaya Statistika, Teoreticheskaya Kibernetika, Vol. 26, pp. 151–203, 1988.

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Martynov, G.V. Probabilistic-statistical programs from “applied statistics”. J Math Sci 50, 1643–1684 (1990). https://doi.org/10.1007/BF01096290

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