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Original Articles

On the product of generalized Pareto random variables

Pages 253-259 | Published online: 25 Feb 2008

References

  • Aarssen , K and De Haan , L . 1994 . On the maximal life span of humans . Mathematical Population Studies , 4 : 259 – 81 .
  • Abu-Salih , MS . 1983 . Distributions of the product and the quotient of power-function random variables . Arab Journal of Mathematics , 4 : 77 – 90 .
  • Atkinson , JW . 1964 . An Introduction to Motivation , Princeton, NJ : Van Nostrand .
  • Bhargava , RP and Khatri , CG . 1981 . The distribution of product of independent beta random variables with application to multivariate analysis . Annals of the Institute of Statistical Mathematics , 33 : 287 – 96 .
  • Cigizoglu , HK and Bayazit , M . 2000 . A generalized seasonal model for flow duration curve . Hydrological Processes , 14 : 1053 – 67 .
  • Daragahi-Noubary , GR . 1989 . On tail estimation: an improved method . Mathematical Geology , 21 : 829 – 42 .
  • Decker , RL . 1955 . A study of three specific problems in the measurement and interpretation of employee attributes Psychological Monographs, 69 (Whole No. 401)
  • ElJabi , N , Ashkar , F and Hebabi , S . 1998 . Regionalization of floods in New Brunswick (Canada), Stochastic . Hydrology and Hydraulics , 12 : 65 – 82 .
  • Ewen , RB . 1967 . Weighting components of job satisfaction . Journal of Applied Psychology , 51 : 68 – 73 .
  • Feldstein , MS . 1971 . The error of forecast in econometric models when the forecast-period exogenous variables are stochastic . Econometrica , 39 : 55 – 60 .
  • Goldthorpe , JH . 1968 . The Affluent Worker: Industrial Attitudes and Behavior , Cambridge : Cambridge University Press .
  • Gradshteyn , IS and Ryzhik , IM . 2000 . Table of Integrals, Series, and Products, , 6th edn , San Diego : Academic Press .
  • Grubel , HG . 1968 . Internationally diversified portfolios: welfare gains capital flows . American Economic Review , 58 : 1299 – 314 .
  • Harter , HL . 1951 . On the distribution of Wald's classification statistic . Annals of Mathematical Statistics , 22 : 58 – 67 .
  • Kalleberg , AL . 1975 . Work values job rewards, and job satisfaction: a theory of the equality of work experience. Ph.D. Dissertation, University of Wisconsin
  • Kalleberg , AL . 1977 . Work values and job rewards: A theory of job satisfaction . American Sociological Review , 42 : 124 – 43 .
  • Ladekarl , M , Jensen , V and Nielsen , B . 1997 . Total number of cancer cell nuclei and mitoses in breast tumors estimated by the optical disector . Analytical and Quantitative Cytology and Histology , 19 : 329 – 37 .
  • Malik , HJ and Trudel , R . 1986 . Probability density function of the product and quotient of two correlated exponential random variables . Canadian Mathematical Bulletin , 29 : 413 – 8 .
  • Mole , N , Anderson , CW , Nadarajah , S and Wright , C . 1995 . A generalised Pareto distribution model for high concentrations in short-range atmospheric dispersion . Environmetrics , 6 : 595 – 606 .
  • Palmore , E and Hammond , PE . 1964 . Interacting factor in juvenile delinquency . American Sociological Review , 29 : 848 – 54 .
  • Pickands , J . 1975 . Statistical inference using extreme order statistics . Annals of Statistics , 3 : 119 – 31 .
  • Podolski , H . 1972 . The distribution of a product of n independent random variables with generalized gamma distribution . Demonstratio Mathematica , 4 : 119 – 23 .
  • Prudnikov , AP , Brychkov , YA and Marichev , OI . 1986 . Integrals and Series , Vol. 1, 2 and 3 , Amsterdam : Gordon and Breach Science Publishers .
  • Rathie , PN and Rohrer , HG . 1987 . The exact distribution of products of independent random variables . Metron , 45 : 235 – 45 .
  • Rokeach , M and Kliejunas , P . 1972 . Behavior as a function of attitude-toward-object and attitude-toward-situation . Journal of Personality and Social Psychology , 22 : 194 – 201 .
  • Rugman , AM . 1979 . International Diversification and the Multinational Enterprise Lexington Books, Lexington, Mass
  • Sakamoto , H . 1943 . On the distributions of the product and the quotient of the independent and uniformly distributed random variables . Tohoku Mathematical Journal , 49 : 243 – 60 .
  • Schaffer , RH . 1953 . Job satisfaction as related to need satisfaction at work Psychological Monographs, 67 (Whole No. 364)
  • Springer , MD and Thompson , WE . 1970 . The distribution of products of beta, gamma and Gaussian random variables . SIAM Journal on Applied Mathematics , 18 : 721 – 37 .
  • Steece , BM . 1976 . On the exact distribution for the product of two independent beta-distributed random variables . Metron , 34 : 187 – 90 .
  • Stuart , A . 1962 . Gamma-distributed products of independent random variables . Biometrika , 49 : 564 – 5 .
  • Tang , J and Gupta , AK . 1984 . On the distribution of the product of independent beta random variables . Statistics & Probability Letters , 2 : 165 – 8 .
  • Van Montfort , MAJ and Witter , JV . 1985 . Testing exponentiality against generalized Pareto distribution . Journal of Hydrology , 78 : 305 – 15 .
  • Wallgren , CM . 1980 . The distribution of the product of two correlated t variates . Journal of the American Statistical Association , 75 : 996 – 1000 .
  • Waters , LK . 1969 . The utility of importance weights in predicting overall job satisfaction and dissatisfaction . Educational and Psychological Measurement , 29 : 519 – 22 .
  • Zelterman , D . 1992 . A statistical distribution with an unbounded hazard function and its application to a theory from demography . Biometrics , 48 : 807 – 18 .

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