²é¿´: 371  |  »Ø¸´: 5

minggx

Í­³æ (СÓÐÃûÆø)

[½»Á÷] ¡¾ÇóÖú¡¿©¸ ©¼ÔÚ¸ÅÂÊÂÛ¹«Àí Öеĺ¬Òå

ÒÔÏÂÂÛÊöÖÐ ©¸ ©¼ µÄº¬Ò壿
Theorem (Mean Absolute Deviation and Mode) . Let X ~ Bin(n,p).  Let v denote the smallest integer > np and let m=©¸ np + p ©¼. Then,
(a) E|X-np|= 2v (1-p) P(X=v).
(b) The mode of X equals m. In paricular, if np is an integer, then the mode is exactly np; if np is not an integer, then the mode is one of the two integers just below and just above np.
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

Domorethannecessary.
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

hill008

½ð³æ (ÕýʽдÊÖ)

¡ï
minggx(½ð±Ò+2):лл²ÎÓë
ÒýÓûØÌû:
Originally posted by minggx at 2010-09-15 18:03:54:
ÒÔÏÂÂÛÊöÖÐ ©¸ ©¼ µÄº¬Ò壿
Theorem (Mean Absolute Deviation and Mode) . Let X ~ Bin(n,p).  Let v denote the smallest integer > np and let m=©¸ np + p ©¼. Then,
(a) E|X-np|= 2v (1-p) P(X=v).
( ...

´óÓÚµÈÓÚnp+pµÄ×îСÕûÊý¡£
2Â¥2010-09-15 20:15:38
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

hill008

½ð³æ (ÕýʽдÊÖ)

¡ï
minggx(½ð±Ò+2):лл²ÎÓë
²»¹ý¿´(b)µÄ½âÊÍÓÖ²»Ïñ£¬ÎÒÒ²¸ãºýÍ¿ÁË¡£
3Â¥2010-09-15 20:23:20
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

minggx

Í­³æ (СÓÐÃûÆø)

ÕâÊÇA. DasGupta дµÄFundametal of Probability: A first Course, Springer, 2010 ÖеÄ99Ò³µÄTheorem 6.3 .  °ÑËüµÄÖ¤Ã÷Ҳд³öÀ´£¬×ö³ÉͼƬ£¬ ´ó¼Ò°ïÎÒÔÙ¿´¿´£¬ лл£¡
http://cid-8d349205ac2b2441.offi ... blic/Theorem6-3.bmp
Domorethannecessary.
4Â¥2010-09-15 21:14:21
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

hill008

½ð³æ (ÕýʽдÊÖ)

½¨ÒéÄã¿´ÑîÕñÃ÷µÄ¡¶¸ÅÂÊÂÛ¡·£¬ÉÏÃæÓС£
5Â¥2010-09-15 21:19:53
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

minggx

Í­³æ (СÓÐÃûÆø)

... ÕÒ²»µ½ÖÐÎĵÄÊé°¡¡£
Domorethannecessary.
6Â¥2010-09-15 21:25:51
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ minggx µÄÖ÷Ìâ¸üÐÂ
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] 307Çóµ÷¼Á +11 ÀäóÏ123 2026-03-17 11/550 2026-03-22 20:16 by edmund7
[¿¼ÑÐ] ÉúÎïѧ071000 329·ÖÇóµ÷¼Á +5 ÎÒ°®ÉúÎïÉúÎﰮΠ2026-03-17 5/250 2026-03-22 16:42 by tcx007
[¿¼ÑÐ] ¿¼Ñе÷¼Á +4 À´ºÃÔËÀ´À´À´ 2026-03-21 4/200 2026-03-22 12:15 by ÐÇ¿ÕÐÇÔÂ
[¿¼ÑÐ] 285Çóµ÷¼Á +6 ytter 2026-03-22 6/300 2026-03-22 12:09 by ÐÇ¿ÕÐÇÔÂ
[¿¼ÑÐ] Ò»Ö¾Ô¸070300Õã´ó»¯Ñ§358·Ö£¬Çóµ÷¼Á£¡ +3 ËÖËÖÓã.. 2026-03-21 3/150 2026-03-22 11:31 by ÑîÑîÑî×Ï
[¿¼ÑÐ] 384Çóµ÷¼Á +3 ×Óϵ²© 2026-03-22 4/200 2026-03-22 11:04 by ²«»÷518
[¿¼ÑÐ] 085600²ÄÁÏÓ뻯¹¤306 +4 z1z2z3879 2026-03-21 4/200 2026-03-21 23:44 by ms629
[¿¼ÑÐ] ×ÊÔ´Óë»·¾³ µ÷¼ÁÉêÇë(333·Ö) +5 holy J 2026-03-21 5/250 2026-03-21 22:42 by Catalysis25
[¿¼ÑÐ] 302Çóµ÷¼Á +12 ºôºôºô¡£¡£¡£¡£ 2026-03-17 12/600 2026-03-21 17:29 by ColorlessPI
[¿¼ÑÐ] 306Çó0703µ÷¼ÁÒ»Ö¾Ô¸»ªÖÐʦ·¶ +5 Ö½Óãly 2026-03-21 5/250 2026-03-21 17:11 by ѧԱ8dgXkO
[¿¼ÑÐ] 299Çóµ÷¼Á +4 ijijijijλ 2026-03-21 4/200 2026-03-21 16:30 by barlinike
[¿¼ÑÐ] ¶þ±¾¿ç¿¼Ö£´ó²ÄÁÏ306Ó¢Ò»Êý¶þ +3 z1z2z3879 2026-03-17 3/150 2026-03-21 02:29 by JourneyLucky
[¿¼ÑÐ] »¯Ñ§Çóµ÷¼Á +4 ÁÙÔó¾³llllll 2026-03-17 5/250 2026-03-21 02:23 by JourneyLucky
[¿¼ÑÐ] »ª¶«Ê¦·¶´óѧ-071000ÉúÎïѧ-293·Ö-Çóµ÷¼Á +3 Ñо¿ÉúºÎÑþÃ÷ 2026-03-18 3/150 2026-03-21 01:30 by JourneyLucky
[¿¼ÑÐ] 317Çóµ÷¼Á +5 Éê×ÓÉêÉê 2026-03-19 9/450 2026-03-20 22:26 by JourneyLucky
[¿¼ÑÐ] 329Çóµ÷¼Á +9 ÏëÉÏѧ߹߹ 2026-03-19 9/450 2026-03-20 22:01 by luoyongfeng
[¿¼ÑÐ] 295²ÄÁÏÇóµ÷¼Á£¬Ò»Ö¾Ô¸Î人Àí¹¤085601ר˶ +5 Charlieyq 2026-03-19 5/250 2026-03-20 20:35 by JourneyLucky
[¿¼ÑÐ] 344Çóµ÷¼Á +6 knight344 2026-03-16 7/350 2026-03-18 20:13 by walc
[¿¼ÑÐ] ¿¼ÑÐÇóµ÷¼Á +3 éÙËÌ. 2026-03-17 4/200 2026-03-17 21:43 by ÓÐÖ»ÀêÅ«
[¿¼ÑÐ] [µ¼Ê¦ÍƼö]Î÷ÄϿƼ¼´óѧ¹ú·À/²ÄÁϵ¼Ê¦ÍƼö +3 ¼â½ÇСºÉ 2026-03-16 6/300 2026-03-16 23:21 by ¼â½ÇСºÉ
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û