[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"term-betting-kelly-criterion-tr":3,"related-kelly-criterion-tr":49,"mdc-rirtwh-key":65},{"id":4,"slug":5,"status":6,"section":7,"category":8,"difficulty":9,"aliases":10,"related_terms":16,"related_calculators":22,"term":25,"definition":26,"content":27,"example":28,"faq":29,"availableLocales":42},"10d4dace-0c02-4025-80ab-49d8488a472b","kelly-criterion","published","betting","strategies","advanced",[11,12,13,14,15],"Kelly formula","Kelly strategy","Kelly staking","Kelly bet","optimal f",[17,18,19,20,21],"bankroll","expected-value","edge","stake","bankroll-management",[23,24,24],"\u002Fbetting\u002Fkelly-calculator","\u002Fbetting\u002Fbankroll-growth-calculator","Kelly Kriteri","Kelly Kriteri, tahmini avantajınıza ve oranlara göre uzun vadeli büyümeyi maksimize etmek için bankroll'unuzun ne kadarını bahis koyacağınızı hesaplayan matematiksel formüldür. John Kelly tarafından 1956'da geliştirilen bu strateji, çok az bahis koyma (büyümeyi yavaşlatır) ile çok fazla bahis koyma (iflas riskini artırır) arasında optimum dengeyi bulur.","# Kelly Kriteri\n\n**Kelly Kriteri**, uzun vadede bankroll büyümesini maksimize etmek için optimal bahis boyutunu belirleyen matematiksel formüldür. Çok az bahis koymak büyümeyi yavaşlatırken, çok fazla bahis koymak iflas riskini artırır. Kelly, avantajınıza göre mükemmel dengeyi bulur ve profesyonel bahisçiler ile yatırımcılar tarafından yaygın olarak kullanılır.\n\n## İçindekiler\n\n- [Kelly Formülü](#formula)\n- [Adım Adım Hesaplama](#calculation)\n- [Kesirli Kelly](#fractional-kelly)\n- [Pratik Uygulama](#practical)\n- [Kelly'nin Sınırlamaları](#limitations)\n- [Gelişmiş Kelly Stratejileri](#advanced)\n\n## Kelly Formülü {#formula}\n\n### Temel Formül\n\n```math\nf^* = \\frac{bp - q}{b}\n```\n\nBurada:\n- f* = Bahis koyulacak bankroll kesri\n- b = Ondalık oran - 1 (net oran)\n- p = Kazanma olasılığı (sizin tahmininiz)\n- q = Kaybetme olasılığı (1 - p)\n\n### Alternatif Formül\n\n```math\nf^* = \\frac{p \\times (b + 1) - 1}{b}\n```\n\n### Basit Örnek\n\n**Senaryo:** 2.50 oran, %50 kazanma tahmini\n\n- b = 2.50 - 1 = 1.50\n- p = 0.50\n- q = 0.50\n\n```math\nf^* = \\frac{(1.50 \\times 0.50) - 0.50}{1.50} = \\frac{0.75 - 0.50}{1.50} = \\frac{0.25}{1.50} = \\%16.7\n```\n\nBankroll'unuzun %16.7'sini bahis koymalısınız.\n\n## Adım Adım Hesaplama {#calculation}\n\n### Hesaplama Adımları\n\n**1. Gerçek olasılığı tahmin edin**\n- İstatistik ve analizinize göre\n\n**2. Net oranı hesaplayın**\n```math\nb = \\text{Ondalık Oran} - 1\n```\n\n**3. Kelly formülünü uygulayın**\n```math\nf^* = \\frac{(b \\times p) - q}{b}\n```\n\n**4. Bahis miktarını hesaplayın**\n```math\n\\text{Bahis} = \\text{Bankroll} \\times f^*\n```\n\n### Örnek Tablo\n\n| Olasılık | Oran | b | Kelly % | 10.000₺'de Bahis |\n|----------|------|---|---------|------------------|\n| %55 | 2.00 | 1.00 | %10 | 1.000₺ |\n| %60 | 1.80 | 0.80 | %12.5 | 1.250₺ |\n| %40 | 3.00 | 2.00 | %5 | 500₺ |\n| %30 | 4.00 | 3.00 | %3.3 | 330₺ |\n\n### Kelly Hızlı Referans Tablosu\n\n| Avantaj | Oran 1.50 | Oran 2.00 | Oran 3.00 | Oran 5.00 |\n|---------|-----------|-----------|-----------|-----------|\n| %2 | %4 | %2 | %1 | %0.5 |\n| %5 | %10 | %5 | %2.5 | %1.25 |\n| %10 | %20 | %10 | %5 | %2.5 |\n| %15 | %30 | %15 | %7.5 | %3.75 |\n\n## Kesirli Kelly {#fractional-kelly}\n\n### Neden Kesirli Kelly?\n\nTam Kelly matematiksel olarak optimaldır ancak:\n- Yüksek volatilite\n- Olasılık tahmin hatalarına duyarlılık\n- Psikolojik zorluk\n\n### Kesirli Kelly Varyantları\n\n| Kesir | Risk Azaltma | Büyüme Azaltma |\n|-------|--------------|----------------|\n| Tam Kelly (%100) | Yok | Yok |\n| 3\u002F4 Kelly (%75) | %25 | ~%6 |\n| Yarım Kelly (%50) | %50 | ~%25 |\n| Çeyrek Kelly (%25) | %75 | ~%44 |\n\n### Kesirli Kelly Hesaplama\n\n```math\n\\text{Kesirli Kelly Bahis} = \\text{Bankroll} \\times f^* \\times \\text{Kesir}\n```\n\n**Örnek:** Tam Kelly %10, yarım Kelly kullanıyorsunuz\n\n```math\n\\text{Bahis} = 10.000₺ \\times 0.10 \\times 0.50 = 500₺\n```\n\n### Önerilen Kesirler\n\n| Durum | Önerilen Kesir |\n|-------|----------------|\n| Çok güvenli avantaj tahmini | %50-75 |\n| Orta güven | %25-50 |\n| Belirsiz avantaj | %10-25 |\n| Yeni başlayanlar | %25 veya daha az |\n\n## Pratik Uygulama {#practical}\n\n### Kelly Kullanım Kuralları\n\n**1. Asla tam Kelly kullanmayın**\n- Çoğu profesyonel %25-50 kullanır\n\n**2. Avantajınızı gerçekçi değerlendirin**\n- Abartmak aşırı bahis koymaya yol açar\n\n**3. Negatif Kelly = bahis yok**\n- Formül negatif verirse, bahis değer değildir\n\n**4. Maksimum limit koyun**\n- Bankroll'un %5'ini asla aşmayın\n\n### Günlük İş Akışı\n\n1. Maç analizini tamamlayın\n2. Gerçek olasılığı tahmin edin\n3. Kelly formülünü uygulayın\n4. Kesirli Kelly ile ayarlayın\n5. Bahis koyun ve kaydedin\n\n### Örnek Uygulama\n\n**10.000₺ bankroll, Manchester United vs Liverpool**\n\n| Parametre | Değer |\n|-----------|-------|\n| Olasılık tahmininiz | %45 Man Utd kazanır |\n| Bahis şirketi oranı | 2.80 |\n| Net oran (b) | 1.80 |\n\n```math\nf^* = \\frac{(1.80 \\times 0.45) - 0.55}{1.80} = \\frac{0.81 - 0.55}{1.80} = \\%14.4\n```\n\n**Yarım Kelly ile:**\n```math\n\\text{Bahis} = 10.000₺ \\times 0.144 \\times 0.50 = 720₺\n```\n\n## Kelly'nin Sınırlamaları {#limitations}\n\n### Sınırlama 1: Olasılık Tahmin Doğruluğu\n\nKelly, doğru olasılık tahminini varsayar. Gerçekte kimse gerçek olasılığı bilmez.\n\n| Gerçek Avantaj | Tahmini Avantaj | Sonuç |\n|----------------|-----------------|-------|\n| %5 | %10 | Aşırı bahis, yüksek varyans |\n| %5 | %5 | Optimal |\n| %5 | %2 | Düşük bahis, yavaş büyüme |\n\n**Çözüm:** Kesirli Kelly kullanarak hata payı bırakın.\n\n### Sınırlama 2: Yüksek Volatilite\n\nTam Kelly ile %50 düşüşler yaygındır.\n\n| Volatilite Seviyesi | Tipik Düşüş |\n|---------------------|-------------|\n| Tam Kelly | %50-70 |\n| Yarım Kelly | %25-40 |\n| Çeyrek Kelly | %15-25 |\n\n### Sınırlama 3: Bahis Limitleri\n\nBahis şirketleri, yüksek Kelly bahislerini kabul etmeyebilir.\n\n### Sınırlama 4: Korele Bahisler\n\nKelly formülü bağımsız bahisler için tasarlanmıştır. Korele bahisler (aynı maçın farklı marketleri) özel dikkat gerektirir.\n\n## Gelişmiş Kelly Stratejileri {#advanced}\n\n### Eşzamanlı Bahisler\n\nBirden fazla bahis aynı anda koyarken:\n\n```math\n\\text{Toplam Maruz Kalım} = \\sum \\text{Bireysel Kelly Bahisleri}\n```\n\n**Kural:** Toplam maruz kalım bankroll'un %20-30'unu aşmamalıdır.\n\n### Dinamik Kelly\n\nBankroll değiştikçe bahis miktarları otomatik olarak ayarlanır:\n\n| Başlangıç Bankroll | Mevcut Bankroll | Kelly %10 Bahis |\n|-------------------|-----------------|-----------------|\n| 10.000₺ | 12.000₺ | 1.200₺ |\n| 10.000₺ | 8.000₺ | 800₺ |\n| 10.000₺ | 15.000₺ | 1.500₺ |\n\n### Kelly ve Çeşitlendirme\n\n| Strateji | Avantaj | Dezavantaj |\n|----------|---------|------------|\n| Tek pazar | Maksimum odak | Yüksek varyans |\n| Çoklu pazar | Düşük varyans | Daha fazla iş |\n| Çoklu spor | Çeşitlendirme | Uzmanlık zorluğu |\n\n## Kelly vs Diğer Staking Stratejileri\n\n| Strateji | Büyüme Oranı | Risk | Karmaşıklık |\n|----------|--------------|------|-------------|\n| Kelly | Optimal | Yüksek | Yüksek |\n| Sabit % | İyi | Orta | Düşük |\n| Sabit miktar | Düşük | Düşük | Çok düşük |\n| Martingale | Yıkıcı | Çok yüksek | Düşük |\n\n## İlgili Hesaplayıcılar\n\nKelly Kriterini bu araçlarla uygulayın:\n\n- [Kelly Hesaplayıcı](\u002Fbetting\u002Fkelly-calculator) - Optimal bahis boyutu hesaplayın\n- [Bankroll Yönetimi](\u002Fbetting\u002Fbankroll-growth-calculator) - Kapsamlı para yönetimi\n- [Bankroll Büyüme Hesaplayıcı](\u002Fbetting\u002Fbankroll-growth-calculator) - Uzun vadeli projeksiyonlar",null,[30,33,36,39],{"answer":31,"question":32},"Kelly formülü: f = (bp - q) \u002F b, burada f = bahis koyulacak bankroll kesri, b = ondalık oran - 1, p = kazanma olasılığı, q = kaybetme olasılığı (1-p). Örneğin, 2.50 oran ve %50 kazanma olasılığı ile: f = (1.50 × 0.50 - 0.50) \u002F 1.50 = %16.7.","Kelly Kriteri nasıl hesaplanır?",{"answer":34,"question":35},"Tam Kelly matematiksel olarak optimaldır ancak yüksek volatilite getirir ve olasılık tahmin hatalarına duyarlıdır. Çoğu profesyonel, varyansı azaltmak ve hatalardan korunmak için yarım veya çeyrek Kelly kullanır. Bu, büyümeden ödün verirken güvenliği artırır.","Neden kesirli Kelly kullanmalıyım?",{"answer":37,"question":38},"Negatif Kelly değeri, bahsin negatif beklenen değere sahip olduğunu ve bahis koymamanız gerektiğini gösterir. Bu, bahis şirketinin sizden daha iyi olasılık tahmin ettiği anlamına gelir. Asla negatif Kelly bahisleri koymayın.","Kelly negatif değer verirse ne olur?",{"answer":40,"question":41},"Çoklu eşzamanlı bahisler için toplam Kelly yüzdeniz, bireysel Kelly bahislerinin toplamını aşmamalıdır. Korele bahisler daha karmaşıktır ve genellikle her bahisi bağımsız olarak azaltılmış Kelly ile boyutlandırmak önerilir.","Kelly Kriteri eşzamanlı bahisler için nasıl uygulanır?",[43,44,45,46,47,48],"pt","en","ru","de","es","tr",[50,55,59,62],{"slug":20,"section":7,"category":51,"difficulty":52,"term":53,"definition":54},"fundamentals","beginner","Bahis miktarı","Stake, tek bir bahise yatırılan para miktarıdır – o belirli sonuç üzerindeki finansal riskinizdir. Stake boyutlandırması, toplam bahis fonunuza göre bahis başına ne kadar risk aldığınızı belirleyen bankroll yönetiminin temelidir. Profesyonel bahisçiler tipik olarak bahis başına bankroll'larının %1-5'ini stake ederler ve kesin yüzde, avantajları ve güven düzeyleri tarafından belirlenir.",{"slug":18,"section":7,"category":8,"difficulty":56,"term":57,"definition":58},"intermediate","Beklenen Deger (EV)","Uzun vadede bir bahisten bekleyecegin ortalama kar veya zarar, her sonucun degerinin olasiligi ile carpilmasiyla hesaplanan — kazanan bahiscileri diger herkesten ayiran en onemli sayi.",{"slug":17,"section":7,"category":8,"difficulty":52,"term":60,"definition":61},"Kasa","Kasa, bir bahisçinin kişisel finanslarından tamamen ayrı, yalnızca bahis oynamak için ayırdığı toplam para miktarıdır. Doğru kasa yönetimi, bahis boyutlarını belirler, varyansa karşı korur ve uzun vadeli bahis başarısında en önemli faktör olarak kabul edilir. Disiplinli kasa yönetimi olmadan, pozitif beklenen değere sahip yetenekli bahisçiler bile sonunda iflas edecektir.",{"slug":21,"section":7,"category":8,"difficulty":56,"term":63,"definition":64},"Kasa Yönetimi","Kasa yönetimi, bahis boyutlarını sistematik bir şekilde belirleme ve uzun vadeli büyümeyi maksimize etmek için bahis fonlarını koruma yaklaşımıdır. Kasa yönetimi, her bahis için ne kadar bahis yapılacağını, avantaj boyutuna, oranlara ve risk toleransına göre belirler. Uygun kasa yönetimi olmadan, karlı bahisçiler bile iflas riskiyle karşı karşıya kalırlar - %10'luk oranlarla 10 bahisten oluşan bir kayıp serisi, fonların %65'ini yok eder. Doğru bahis büyüklüğü, kaçınılmaz düşüşlerden sağ çıkmayı sağlar.",{"data":66,"body":67},{},{"type":68,"children":69},"root",[70,78,89,95,155,161,168,474,479,502,508,810,816,826,844,1451,1456,1462,1468,1476,1484,1492,1627,1635,1909,1917,2081,2087,2238,2244,2383,2389,2395,2400,2418,2424,2522,2528,2730,2740,2937,2943,3017,3023,3029,3037,3045,3053,3061,3069,3077,3085,3093,3099,3128,3134,3142,3202,3671,3679,3873,3879,3885,3890,3965,3975,3981,3986,4047,4053,4058,4064,4069,4075,4081,4086,4205,4215,4221,4226,4304,4310,4390,4396,4514,4520,4525],{"type":71,"tag":72,"props":73,"children":75},"element","h2",{"id":74},"kelly-kriteri",[76],{"type":77,"value":25},"text",{"type":71,"tag":79,"props":80,"children":81},"p",{},[82,87],{"type":71,"tag":83,"props":84,"children":85},"strong",{},[86],{"type":77,"value":25},{"type":77,"value":88},", uzun vadede bankroll büyümesini maksimize etmek için optimal bahis boyutunu belirleyen matematiksel formüldür. Çok az bahis koymak büyümeyi yavaşlatırken, çok fazla bahis koymak iflas riskini artırır. Kelly, avantajınıza göre mükemmel dengeyi bulur ve profesyonel bahisçiler ile yatırımcılar tarafından yaygın olarak kullanılır.",{"type":71,"tag":72,"props":90,"children":92},{"id":91},"i̇çindekiler",[93],{"type":77,"value":94},"İçindekiler",{"type":71,"tag":96,"props":97,"children":98},"ul",{},[99,110,119,128,137,146],{"type":71,"tag":100,"props":101,"children":102},"li",{},[103],{"type":71,"tag":104,"props":105,"children":107},"a",{"href":106},"#formula",[108],{"type":77,"value":109},"Kelly Formülü",{"type":71,"tag":100,"props":111,"children":112},{},[113],{"type":71,"tag":104,"props":114,"children":116},{"href":115},"#calculation",[117],{"type":77,"value":118},"Adım Adım Hesaplama",{"type":71,"tag":100,"props":120,"children":121},{},[122],{"type":71,"tag":104,"props":123,"children":125},{"href":124},"#fractional-kelly",[126],{"type":77,"value":127},"Kesirli 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