Hurst exponent - Revision history

137.205.234.239: /* Generalized exponent */ Fixed typo.

2014-09-17T08:21:54Z

Generalized exponent: Fixed typo.

← Older revision		Revision as of 10:21, 17 September 2014
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5.19.255.252: /* Definition */

2014-02-10T09:26:54Z

Definition

← Older revision		Revision as of 11:26, 10 February 2014
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	~~{{redirect\|m number\|US military vehicle numbers\|List of U~~.S. ~~military vehicles by model number}}~~		Hello, my name is Felicidad but I [http://Www.Volvocars.com/us/sales-services/sales/volvo_certified_preowned/Pages/default.aspx auto warranty] don't like when individuals use my complete name. My home is now in Kansas. The job I've been occupying for many years is a [http://Www.Gmcertified.com/used-car-warranty bookkeeper] but I've currently utilized for another 1. The preferred pastime for him and his kids is to generate and now he is trying to make cash with it.<br><br>my web page ... [http://14.63.168.193/index.php?document_srl=249897&mid=freeboard extended car warranty] car car [http://www.gauhaticommercecollege.in/content/dont-allow-auto-repair-best-you auto warranty] car [https://Www.Chevrolet.com/owners/warranty.html warranty warranty] ([http://Elearning.Qamtraining.net/UserProfile/tabid/42/userId/141840/language/en-US/Default.aspx why not try this out])

	~~In [[betting (poker)\|no~~-~~limit or pot-limit]] [[poker]~~]~~, a player's '''M-ratio''~~' ~~(also called "M number", "M factor"<ref~~ name~~="pokergreed">PokerGreed~~.~~com: Understand what hands to play~~ in a ~~tournament~~ [http://~~www~~.~~pokergreed~~.com/~~articles/understand_what_hands_to_play_in_a_tournament.html]. Accessed 2008~~-03-~~25</ref> or just "M") is a measure of the health of his chip stack as a function of the cost to play each round. In simple terms, a player can sit passively in the game, making only compulsory bets,~~ for ~~''M'' laps of the dealer button before running out of chips. A high ''M'' means the player can afford to wait a high number of rounds before making a move~~. The ~~concept applies primarily in [[poker tournament\|tournament]] poker; in a cash game, a player can in principle manipulate~~ his ~~M at will, simply by purchasing more chips.~~

	~~A player with a low ''M'' must act soon or be weakened by the inability~~ to ~~force other players~~ to ~~fold~~ with ~~aggressive raises.~~

	~~The term was invented and named by [[Paul Magriel]]~~.
	~~==Calculation==~~
	~~The M-ratio is calculated by the formula:~~

	:<~~math~~>~~M = \frac{\mbox{stack}}{\mbox{small blind} + \mbox{big blind} + \mbox{total antes}}~~</~~math>~~

	~~For example, a player in an eight-player game with blinds of $50~~/~~$100, an ante of $10, and a stack of $2,300 has an M-ratio of 10:~~

	~~:<math>M = \frac{2300}{50 + 100 + (10 \times 8)}~~ = ~~\frac{2300}{230}~~ = ~~10</math>~~

	~~That is, if the player only makes the compulsory bets, he will be "blinded out" of the game in 10 rounds, or 80 hands.~~

	~~[[Dan Harrington]] studied the concept in great detail in ''[[Harrington on Holdem~~]~~]: Volume II The Endgame'', <ref>~~[http://www.~~blindbetpoker~~.~~com~~/~~books~~/~~harrington-holdem-2.html Harrington on Holdem: The Endgame~~ - ~~Poker Book Reviews<!~~-- ~~Bot generated title~~ -->]~~</ref> defining several "zones" in which the M-ratio may fall:<ref>~~[~~http~~://~~www~~.~~pokerlistings~~.com/~~tournament-nolimit-holdem-harringtons-zone-system-5475 Tournament No-Limit Hold'em: Harrington's Zone System - Poker Strategy - PokerListings~~.~~com<!-- Bot generated title -->~~]~~</ref>~~

	~~{\| class="wikitable"~~
	~~! M-ratio~~
	~~! Zone name~~
	~~! "Optimal" strategy~~
	\|-
	~~\| M ≥ 20~~
	~~\| Green zone~~
	~~\| Most desirable situation, freedom to play conservatively or aggressively as you choose<ref>''Harrington on Holdem'', Volume II, p129</ref>~~
	\|-
	~~\| {{nowrap\|10 ≤ M < 20}}~~
	~~\| Yellow zone~~
	~~\| Must take more risks~~ (~~see reference #3), hands containing small pairs and small suited connectors lose value~~
	\|-
	~~\| 6 ≤ M < 10~~
	~~\| Orange zone~~
	~~\| Main focus is to be first-in whatever you decide to play, important to preserve chips~~
	\|-
	~~\| 1 ≤ M < 6~~
	~~\| Red zone~~
	~~\| Your only move is to move~~ [~~[all in (poker)\|all-in]] or fold~~
	\|-
	~~\| M < 1~~
	~~\| Dead zone~~
	~~\| You are completely dependent on luck to survive, the only strategy is to push all-in into an empty pot~~
	\|}

	~~==Effective M==~~

	Harrington further develops the concept to account for shortening tables, as is seen at the closing stages of multi-table tournaments. The M-ratio is simply multiplied by the percentage of players remaining at the table, assuming a ten-player table to be "full".

	:~~<math>M_{\mbox{Effective}} = M \times \left( \frac{\mbox{Players}}{10} \right)<~~/~~math>~~

	~~Therefore, for a player with a "simple M ratio" of 9 at a five player table, the effective M is 4~~.5:

	~~:<math>M_{\mbox{Effective}} = 9 \times \left( \frac{5}{10} \right) = 4~~.5</~~math>~~

	~~This means that although the player's simple M value places him in the orange zone, his effective M dictates a shift in playing style appropriate for the red zone~~. ~~In essence, ten times the effective M denotes the expected number of hands a player can let pass before running~~ out ~~of chips.~~

	~~== See also ==~~
	* [[Q-ratio]]

	~~== References ==~~
	~~{{reflist}}~~

	~~[[Category:Heuristics]]~~
	~~[[Category:Poker strategy]~~]

en>BG19bot: /* Generalized exponent */WP:CHECKWIKI error fix for #61. Punctuation goes before References. Do general fixes if a problem exists. - using AWB (9890)

2014-01-29T06:41:11Z

Generalized exponent: WP:CHECKWIKI error fix for #61. Punctuation goes before References. Do general fixes if a problem exists. - using AWB (9890)

← Older revision		Revision as of 08:41, 29 January 2014
Line 1:		Line 1:
	~~Friends contact her Felicidad and her husband doesn~~'~~t like it at all~~. ~~Bookkeeping is~~ what ~~he does~~. ~~Delaware~~ is ~~our beginning location~~. The ~~favorite pastime for my kids and me is taking part~~ in ~~crochet and now I~~'~~m trying~~ to ~~earn money~~ with it.<br><br>~~Review my website~~: [http://~~dncengineering~~.Co.za/~~UserProfile~~/~~tabid~~/~~184~~/~~userId~~/~~14975~~/~~Default~~.~~aspx dncengineering~~.Co.za]		{{redirect\|m number\|US military vehicle numbers\|List of U.S. military vehicles by model number}}

			In [[betting (poker)\|no-limit or pot-limit]] [[poker]], a player's '''M-ratio''' (also called "M number", "M factor"<ref name="pokergreed">PokerGreed.com: Understand what hands to play in a tournament [http://www.pokergreed.com/articles/understand_what_hands_to_play_in_a_tournament.html]. Accessed 2008-03-25</ref> or just "M") is a measure of the health of his chip stack as a function of the cost to play each round. In simple terms, a player can sit passively in the game, making only compulsory bets, for ''M'' laps of the dealer button before running out of chips. A high ''M'' means the player can afford to wait a high number of rounds before making a move. The concept applies primarily in [[poker tournament\|tournament]] poker; in a cash game, a player can in principle manipulate his M at will, simply by purchasing more chips.

			A player with a low ''M'' must act soon or be weakened by the inability to force other players to fold with aggressive raises.

			The term was invented and named by [[Paul Magriel]].
			==Calculation==
			The M-ratio is calculated by the formula:

			:<math>M = \frac{\mbox{stack}}{\mbox{small blind} + \mbox{big blind} + \mbox{total antes}}</math>

			For example, a player in an eight-player game with blinds of $50/$100, an ante of $10, and a stack of $2,300 has an M-ratio of 10:

			:<math>M = \frac{2300}{50 + 100 + (10 \times 8)} = \frac{2300}{230} = 10</math>

			That is, if the player only makes the compulsory bets, he will be "blinded out" of the game in 10 rounds, or 80 hands.

			[[Dan Harrington]] studied the concept in great detail in ''[[Harrington on Holdem]]: Volume II The Endgame'', <ref>[http://www.blindbetpoker.com/books/harrington-holdem-2.html Harrington on Holdem: The Endgame - Poker Book Reviews<!-- Bot generated title -->]</ref> defining several "zones" in which the M-ratio may fall:<ref>[http://www.pokerlistings.com/tournament-nolimit-holdem-harringtons-zone-system-5475 Tournament No-Limit Hold'em: Harrington's Zone System - Poker Strategy - PokerListings.com<!-- Bot generated title -->]</ref>

			{\| class="wikitable"
			! M-ratio
			! Zone name
			! "Optimal" strategy
			\|-
			\| M ≥ 20
			\| Green zone
			\| Most desirable situation, freedom to play conservatively or aggressively as you choose<ref>''Harrington on Holdem'', Volume II, p129</ref>
			\|-
			\| {{nowrap\|10 ≤ M < 20}}
			\| Yellow zone
			\| Must take more risks (see reference #3), hands containing small pairs and small suited connectors lose value
			\|-
			\| 6 ≤ M < 10
			\| Orange zone
			\| Main focus is to be first-in whatever you decide to play, important to preserve chips
			\|-
			\| 1 ≤ M < 6
			\| Red zone
			\| Your only move is to move [[all in (poker)\|all-in]] or fold
			\|-
			\| M < 1
			\| Dead zone
			\| You are completely dependent on luck to survive, the only strategy is to push all-in into an empty pot
			\|}

			==Effective M==

			Harrington further develops the concept to account for shortening tables, as is seen at the closing stages of multi-table tournaments. The M-ratio is simply multiplied by the percentage of players remaining at the table, assuming a ten-player table to be "full".

			:<math>M_{\mbox{Effective}} = M \times \left( \frac{\mbox{Players}}{10} \right)</math>

			Therefore, for a player with a "simple M ratio" of 9 at a five player table, the effective M is 4.5:

			:<math>M_{\mbox{Effective}} = 9 \times \left( \frac{5}{10} \right) = 4.5</math>

			This means that although the player's simple M value places him in the orange zone, his effective M dictates a shift in playing style appropriate for the red zone. In essence, ten times the effective M denotes the expected number of hands a player can let pass before running out of chips.

			== See also ==
			* [[Q-ratio]]

			== References ==
			{{reflist}}

			[[Category:Heuristics]]
			[[Category:Poker strategy]]

en>Dfg13: /* Estimating the exponent */ mention use of graphical pox plot.

2012-08-22T12:40:37Z

Estimating the exponent: mention use of graphical pox plot.

New page

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