A TRIPTYCH OF DISCRETE-DISTRIBUTIONS RELATED TO THE STABLE LAW

被引:55
作者
DEVROYE, L [1 ]
机构
[1] MCGILL UNIV,SCH COMP SCI,MONTREAL H3A 2A7,QUEBEC,CANADA
关键词
DISCRETE STABLE DISTRIBUTION; RANDOM VARIATE GENERATION; DISTRIBUTION THEORY; LINNIK DISTRIBUTION;
D O I
10.1016/0167-7152(93)90027-G
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We derive useful distributional representations for three discrete laws: the discrete stable distribution of Steutel and Van Harn, the discrete Linnik distribution introduced by Pakes, and a distribution of Sibuya. These representations may be used to obtain simple uniformly fast random variate generators.
引用
收藏
页码:349 / 351
页数:3
相关论文
共 24 条
[1]   SAMPLING FROM BINOMIAL AND POISSON-DISTRIBUTIONS - A METHOD WITH BOUNDED COMPUTATION TIMES [J].
AHRENS, JH ;
DIETER, U .
COMPUTING, 1980, 25 (03) :193-208
[2]   COMPUTER-GENERATION OF POISSON DEVIATES FROM MODIFIED NORMAL-DISTRIBUTIONS [J].
AHRENS, JH ;
DIETER, U .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1982, 8 (02) :163-179
[3]   GENERATING GAMMA-VARIATES BY A MODIFIED REJECTION TECHNIQUE [J].
AHRENS, JH ;
DIETER, U .
COMMUNICATIONS OF THE ACM, 1982, 25 (01) :47-54
[4]   SAMPLING FROM GAMMA-DISTRIBUTION AND POISSON-DISTRIBUTIONS [J].
AHRENS, JH ;
KOHRT, KD ;
DIETER, U .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1983, 9 (02) :255-257
[5]  
Best D. J., 1978, APPL STAT, V29, P181
[6]  
Cheng R. C. H, 1979, J ROY STATIST SOCIET, V28, P290
[7]  
CHENG RCH, 1980, COMMUN ACM, V23, P289
[8]  
Devroye L, 1992, J STAT COMPUT SIM, V43, P197, DOI DOI 10.1080/009496592088
[9]  
Devroye L., 1986, NONUNIFORM RANDOM VA
[10]   GENERALIZED WARING DISTRIBUTION .1. [J].
IRWIN, JO .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY, 1975, 138 :18-31