Download this PDF file Fullscreen Fullscreen Off

#### References

- Ait Aoudia, D. and Marchand É. (2014). On a simple construction of bivariate probability functions with fixed marginals. Technical report 136 URL.
- Ait Aoudia, Djilali; Marchand, Éric. On the number of runs for Bernoulli arrays.
*J. Appl. Probab.*47 (2010), no. 2, 367--377. MR2668494 - Arratia, Richard; Barbour, A. D.; Tavaré, Simon. Poisson process approximations for the Ewens sampling formula.
*Ann. Appl. Probab.*2 (1992), no. 3, 519--535. MR1177897 - Chern, Hua-Huai; Hwang, Hsien-Kuei; Yeh, Yeong-Nan. Distribution of the number of consecutive records.
Proceedings of the Ninth International Conference "Random Structures
and Algorithms'' (Poznan, 1999).
*Random Structures Algorithms*17 (2000), no. 3-4, 169--196. MR1801131 - Csörgö, S.; Wu, W. B. On sums of overlapping products of independent Bernoulli random
variables.
*Ukrain. Mat. Zh.*52 (2000), no. 9, 1304--1309;*translation in**Ukrainian Math. J.*52 (2000), no. 9, 1496--1503 (2001) MR1816943 - Goncharov, V. (1944). On the field of combinatory analysis. Soviet Math. Izv., Ser. Math., 8, 3-48. In Russian.
- Hahlin, L.O. (1995). Double Records. Research Report # 12, Department of Mathematics, Uppsala University.
- Hirano, K.; Aki, S.; Kashiwagi, N.; Kuboki, H. On Ling's binomial and negative binomial distributions of order
$k$.
*Statist. Probab. Lett.*11 (1991), no. 6, 503--509. MR1116744 - Holst, Lars. The number of two consecutive successes in a Hoppe-Polya urn.
*J. Appl. Probab.*45 (2008), no. 3, 901--906. MR2455191 - Holst, Lars. Counts of failure strings in certain Bernoulli sequences.
*J. Appl. Probab.*44 (2007), no. 3, 824--830. MR2355594 - Huffer, Fred W.; Sethuraman, Jayaram; Sethuraman, Sunder. A study of counts of Bernoulli strings via conditional Poisson
processes.
*Proc. Amer. Math. Soc.*137 (2009), no. 6, 2125--2134. MR2480294 - Joffe, Anatole; Marchand, Éric; Perron, François; Popadiuk, Paul. On sums of products of Bernoulli variables and random
permutations.
*J. Theoret. Probab.*17 (2004), no. 1, 285--292. MR2054589 - Joffe, A., Marchand É., Perron, F., and Popadiuk, P. (2000). On sums of products of Bernoulli variables and random permutations. Research Report # 2686, Centre de Recherches Mathématiques, Montréal, Canada.
- Kolchin, V.F. (1971). A problem of the allocation of particles in cells and cycles of random permutations. Theory of Probability and its Applications, 16, 74-90.
- Lee, P. A. A diagonal expansion for the $2$-variate Dirichlet probability density
function.
*SIAM J. Appl. Math.*21 1971 155--165. MR0288805 - Mori, Tamas F. On the distribution of sums of overlapping products.
*Acta Sci. Math. (Szeged)*67 (2001), no. 3-4, 833--841. MR1876470 - Sethuraman, Jayaram; Sethuraman, Sunder. On counts of Bernoulli strings and connections to rank orders and
random permutations.
*A festschrift for Herman Rubin,*140--152, IMS Lecture Notes Monogr. Ser., 45,*Inst. Math. Statist., Beachwood, OH,*2004. MR2126893

This work is licensed under a Creative Commons Attribution 3.0 License.