On the Expected Number of Limited Length Binary Strings Derived by Certain Urn Models

Table 2

Expected values of defined on a FTM () and on a RTM ().

					0	−10	−50	−500
					1	21	101	1001
					1	11	51	501
	0	0	24.750000		33.000000	25.826087	24.990291	24.774676
		10	48.978760		48.512821	48.921634	48.968795	48.977823
		98	49.000000		49.009901	49.000000	49.000000	49.000000
	10	10	0.021729		0.103730	0.046343	0.027280	0.022293
		98	0.042969		0.600810	0.124709	0.058486	0.044400
	0	0	249.750000		333.000000	260.608696	252.174757	249.999003
		10	498.759033		492.743590	498.101519	498.645178	498.748350
	10	10	0.241455		1.152681	0.514980	0.303150	0.247725
	0	0	2499.750000		3333.000000	2608.434783	2524.019417	2502.242273
		10	4996.571768		4935.051282	4989.900378	4995.409015	4996.453615
	10	10	2.438721		11.642191	5.201346	3.061847	2.502044
					0	−10	−50	−500
					19	219	1019	10019
					3	33	153	1503
	0	0	71.527500		72.128571	71.584615	71.539863	71.528760
		10	84.000000		83.999932	84.000000	84.000000	84.000000
		98	84.000000		80.000000	84.000000	84.000000	84.000000
	0	0	721.777500		727.842857	722.353846	721.902253	721.790211
		10	848.999999		848.999227	848.999998	848.999999	848.999999
	10	10	0.000004		0.001072	0.000011	0.000005	0.000004
	0	0	7224.277500		7284.985714	7230.046154	7225.526151	7224.404720
		10	8498.999993		8498.992180	8498.999975	8498.999990	8498.999992
	10	10	0.000042		0.010830	0.000109	0.000052	0.000043