ᱥᱮᱥᱚᱱ ᱨᱮᱭᱟᱜ ᱡᱮᱞᱮᱧ ᱟᱨ ᱠᱷᱚᱨᱚᱪ
ᱢᱤᱫ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮ ᱠᱷᱮᱞ ᱯᱩᱸᱡᱤ ᱛᱤᱱᱟᱹᱜ ᱚᱠᱛᱚ ᱛᱟᱦᱮᱸᱱᱟ, ᱟᱨ ᱜᱷᱟᱸᱴᱟ ᱠᱚ ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ ᱛᱤᱱᱟᱹᱜ᱾ ᱡᱟᱹᱥᱛᱤ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱡᱟᱦᱟᱸ ᱮᱞ ᱵᱟᱝ ᱠᱚ ᱦᱤᱥᱟᱹᱵ ᱞᱮᱫᱟ, ᱢᱮᱱᱠᱷᱟᱱ ᱡᱟᱹᱥᱛᱤ ᱠᱚ ᱦᱤᱥᱟᱹᱵ ᱞᱟᱹᱠᱛᱤᱭᱟ᱾
ᱢᱤᱫ ᱞᱮᱠᱟᱱ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱫᱚ, ᱟᱣᱥᱚᱛ ᱛᱮ, ᱠᱷᱮᱞ ᱯᱩᱸᱡᱤ ᱨᱮᱭᱟᱜ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱞᱟᱹᱜᱤᱫ 37 ᱜᱷᱩᱨᱟᱹᱣ ᱛᱟᱦᱮᱸᱱᱟ, ᱡᱩᱫᱤ ᱦᱚᱸ ᱥᱟᱱᱟᱢ ᱥᱮᱥᱚᱱ ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ ᱫᱚ ᱚᱱᱟ ᱠᱷᱚᱱ ᱞᱟᱦᱟ ᱨᱮ ᱢᱩᱪᱟᱹᱫᱚᱜ-ᱟ; ᱢᱤᱫ ᱜᱷᱟᱸᱴᱟ ᱨᱮᱭᱟᱜ ᱟᱸᱫᱟᱡᱽ ᱠᱷᱚᱨᱚᱪ ᱫᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ × ᱢᱤᱫ ᱜᱷᱟᱸᱴᱟ ᱨᱮᱭᱟᱜ ᱜᱷᱩᱨᱟᱹᱣ / 37᱾ ᱵᱟᱨᱭᱟ ᱥᱟᱶ ᱟᱯᱮ ᱢᱤᱫ ᱧᱤᱫᱟᱹ ᱮᱦᱚᱵ ᱞᱟᱦᱟ ᱨᱮ ᱜᱮ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱫᱟᱢ ᱵᱟᱰᱟᱭ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ ᱯᱮ᱾
ᱠᱷᱮᱞ ᱯᱩᱸᱡᱤ ᱛᱤᱱᱟᱹᱜ ᱚᱠᱛᱚ ᱛᱟᱦᱮᱸᱱᱟ
B ᱠᱷᱮᱞ ᱯᱩᱸᱡᱤᱴᱟᱠᱟᱠᱷᱮᱞ ᱯᱩᱸᱡᱤᱠᱷᱮᱞ ᱞᱟᱹᱜᱤᱫ ᱟᱞᱟᱜ ᱫᱚᱦᱚ ᱟᱠᱟᱱ ᱡᱚᱛᱚ ᱴᱟᱠᱟ᱾ ᱠᱷᱮᱞ ᱯᱩᱸᱡᱤ ᱥᱟᱢᱵᱷᱟᱞ ᱫᱚ ᱢᱮᱱᱮᱛ ᱢᱤᱫ ᱵᱟᱡᱤ ᱟᱨ ᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱨᱮ ᱚᱱᱟ ᱠᱷᱚᱱ ᱛᱤᱱᱟᱹᱜ ᱡᱚᱠᱷᱤᱢ ᱨᱮ ᱫᱚᱦᱚᱭ ᱚᱱᱟ ᱴᱷᱟᱹᱣᱠᱟᱹ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱟᱨ s ᱢᱤᱫ ᱞᱮᱠᱟᱱ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱥᱟᱶ, ᱯᱩᱸᱡᱤ ᱫᱚ ᱟᱣᱥᱚᱛ ᱛᱮ ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ s/37 ᱞᱟᱛᱟᱨ ᱥᱮᱫ ᱪᱟᱞᱟᱜ-ᱟ ᱟᱨ ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱠᱚᱢ ᱵᱮᱥᱤ s ᱪᱮᱛᱟᱱ-ᱞᱟᱛᱟᱨ ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱠᱷᱟᱹᱞᱤ ᱞᱟᱛᱟᱨ ᱪᱟᱞᱟᱜ ᱜᱮ ᱟᱣᱥᱚᱛ ᱴᱷᱟᱹᱣᱠᱟᱹᱣᱟ: ᱯᱩᱸᱡᱤ ᱫᱚ 37 × B/s ᱜᱷᱩᱨᱟᱹᱣ ᱛᱟᱦᱮᱸᱱᱟ, ᱪᱮᱫᱟᱜ ᱥᱮ ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ s/37 ᱛᱮ B ᱦᱟᱨᱟᱣ ᱞᱟᱹᱜᱤᱫ ᱚᱱᱟ ᱜᱮ ᱚᱠᱛᱚ ᱞᱟᱹᱠᱛᱤᱭᱟ᱾ ᱪᱮᱛᱟᱱ-ᱞᱟᱛᱟᱨ ᱛᱮ ᱡᱮᱞᱮᱧ ᱫᱚ ᱵᱷᱮᱜᱟᱨ ᱵᱷᱮᱜᱟᱨ ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱠᱤᱪᱷᱩ ᱥᱮᱥᱚᱱ ᱫᱚ ᱵᱟᱹᱲᱤᱡ ᱫᱟᱣ ᱛᱮ ᱞᱚᱜᱚᱱ ᱢᱩᱪᱟᱹᱫᱚᱜ-ᱟ, ᱠᱚᱭᱢᱟ ᱫᱚ ᱟᱹᱰᱤ ᱡᱮᱞᱮᱧ ᱛᱟᱦᱮᱸᱱᱟ, ᱟᱨ ᱢᱤᱰᱤᱭᱟᱱ, ᱡᱟᱦᱟᱸ ᱡᱮᱞᱮᱧ ᱫᱚ ᱥᱟᱱᱟᱢ ᱥᱮᱥᱚᱱ ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ ᱵᱟᱝ ᱥᱮᱴᱮᱨ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ, ᱫᱚ ᱟᱣᱥᱚᱛ ᱠᱷᱚᱱ ᱞᱟᱛᱟᱨ ᱨᱮ ᱛᱟᱦᱮᱸᱱᱟ᱾ $10 ᱛᱮ $500 ᱠᱷᱮᱞ ᱯᱩᱸᱡᱤ (B/s = 50) ᱫᱚ ᱟᱣᱥᱚᱛ ᱛᱮ 1,850 ᱜᱷᱩᱨᱟᱹᱣ ᱟᱨ ᱢᱤᱰᱤᱭᱟᱱ ᱨᱮ 1,364 ᱜᱷᱩᱨᱟᱹᱣ ᱛᱟᱦᱮᱸᱱᱟ, ᱞᱟᱭᱤᱵᱷ ᱴᱮᱵᱩᱞ ᱨᱮ ᱠᱚᱢ ᱵᱮᱥᱤ 27 ᱜᱷᱟᱸᱴᱟ᱾ $50 (B/s = 10) ᱨᱮ ᱢᱤᱰᱤᱭᱟᱱ ᱫᱚ 136 ᱜᱷᱩᱨᱟᱹᱣ, ᱯᱮ ᱜᱷᱟᱸᱴᱟ ᱠᱷᱚᱱ ᱠᱚᱢ᱾
ᱜᱷᱟᱸᱴᱟ ᱠᱚ ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ
ᱢᱤᱫ ᱜᱷᱟᱸᱴᱟ ᱨᱮᱭᱟᱜ ᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱜᱚᱱᱤᱛᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱜᱩᱬ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ; ᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱟᱨᱵᱟᱝ ᱚᱠᱛᱚ ᱨᱮ ᱟᱣᱥᱚᱛ ᱛᱮ ᱦᱟᱨᱟᱣᱚᱜ ᱴᱟᱠᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → = ᱵᱟᱡᱤ ᱴᱟᱠᱟ × ᱢᱤᱫ ᱜᱷᱟᱸᱴᱟ ᱨᱮᱭᱟᱜ ᱜᱷᱩᱨᱟᱹᱣ / 37᱾ ᱟᱯᱮ ᱥᱟᱢᱵᱷᱟᱞ ᱫᱟᱲᱮᱭᱟᱜ ᱵᱟᱨ ᱮᱞ ᱫᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱟᱨ ᱞᱚᱜᱚᱱ᱾ 50 ᱜᱷᱩᱨᱟᱹᱣ ᱢᱤᱫ ᱜᱷᱟᱸᱴᱟ ᱨᱮ $10 ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣᱤᱡ ᱫᱚ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱴᱮᱵᱩᱞ ᱨᱮ ᱢᱤᱫ ᱜᱷᱟᱸᱴᱟ ᱨᱮ $13.51 ᱮ ᱮᱢᱟ, ᱯᱷᱨᱮᱧᱪ ᱴᱮᱵᱩᱞ ᱨᱮ $6.76, ᱥᱯᱤᱰ ᱴᱮᱵᱩᱞ ᱨᱮ $27᱾ ᱢᱤᱫ ᱜᱷᱟᱸᱴᱟ ᱨᱩᱞᱮᱴ ᱫᱚ ᱟᱯᱮ ᱞᱟᱹᱜᱤᱫ ᱛᱤᱱᱟᱹᱜ ᱜᱚᱱᱚᱝ ᱚᱱᱟ ᱴᱷᱟᱹᱣᱠᱟᱹᱣ ᱯᱮ, ᱟᱨ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱫᱚ ᱚᱱᱟ ᱠᱷᱚᱱ ᱜᱮ ᱦᱤᱥᱟᱹᱵᱚᱜ-ᱟ᱾
ᱵᱟᱨᱭᱟ ᱥᱟᱶ ᱥᱟᱶ
$500 ᱢᱮᱱᱟᱜ ᱢᱤᱫ ᱠᱷᱮᱞᱚᱸᱰ, ᱡᱟᱦᱟᱸᱭ ᱫᱚ 50 ᱜᱷᱩᱨᱟᱹᱣ ᱞᱟᱭᱤᱵᱷ ᱴᱮᱵᱩᱞ ᱨᱮ ᱯᱩᱱ ᱜᱷᱟᱸᱴᱟ ᱧᱤᱫᱟᱹ (200 ᱜᱷᱩᱨᱟᱹᱣ) ᱠᱷᱮᱞ ᱥᱟᱱᱟᱭ ᱟᱭ ᱟᱨ ᱡᱚᱛᱚ ᱦᱟᱨᱟᱣ ᱵᱟᱝ ᱥᱟᱱᱟᱭ ᱟᱭ, ᱩᱱᱤ ᱫᱚ ᱠᱚᱢ ᱵᱮᱥᱤ $25 ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱵᱟᱡᱤ ᱟᱞᱚᱭ ᱞᱟᱜᱟᱣᱟ (B/s = 20, ᱢᱤᱰᱤᱭᱟᱱ ᱯᱩᱸᱡᱤ ᱢᱩᱪᱟᱹᱫ 394 ᱜᱷᱩᱨᱟᱹᱣ)᱾ ᱧᱤᱫᱟᱹ ᱨᱮᱭᱟᱜ ᱟᱸᱫᱟᱡᱽ ᱠᱷᱚᱨᱚᱪ ᱫᱚ 200 × $25 / 37 = $135᱾ ᱡᱩᱫᱤ $135 ᱫᱚ ᱟᱹᱰᱤ ᱵᱮᱥᱤ ᱠᱷᱟᱱ, ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱠᱚᱢᱚᱜ-ᱟ ᱟᱨ ᱧᱤᱫᱟᱹ ᱫᱚ ᱥᱟᱶ ᱥᱟᱶ ᱵᱮᱥ ᱨᱩᱠᱷᱤᱭᱟᱹ ᱟᱨ ᱥᱚᱵᱷᱤᱛᱟ ᱦᱩᱭᱩᱜ-ᱟ: $10 ᱨᱮ ᱟᱸᱫᱟᱡᱽ ᱠᱷᱚᱨᱚᱪ $54 ᱟᱨ 200 ᱜᱷᱩᱨᱟᱹᱣ ᱞᱟᱦᱟ ᱨᱮ ᱯᱩᱸᱡᱤ ᱢᱩᱪᱟᱹᱫ ᱫᱚ ᱟᱹᱰᱤ ᱠᱚᱢ ᱦᱩᱭᱩᱜ-ᱟ᱾
- p10 −$500
- p25 −$500
- ᱢᱤᱰᱤᱭᱟᱱ −$500
- p75 −$50
- p90 +$350
ᱥᱴᱨᱮᱴ ᱚᱯ ᱥᱮᱥᱚᱱ
ᱥᱴᱨᱮᱴ ᱚᱯᱵᱟᱡᱤᱥᱴᱨᱮᱴ ᱚᱯᱢᱤᱫ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 35:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱟᱹᱜᱤᱫ ᱢᱤᱫ ᱜᱮ ᱥᱮᱥᱚᱱ ᱡᱮᱞᱮᱧ ᱞᱟᱹᱜᱤᱫ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱫᱚ ᱦᱩᱰᱤᱧ ᱦᱩᱭᱩᱜ ᱞᱟᱹᱠᱛᱤᱭᱟ: ᱢᱤᱫ ᱭᱩᱱᱤᱴᱴᱟᱠᱟᱭᱩᱱᱤᱴᱢᱤᱫ ᱥᱤᱥᱴᱮᱢ ᱟᱨᱵᱟᱝ ᱠᱷᱮᱞᱚᱸᱰ ᱵᱮᱵᱷᱟᱨ ᱵᱮᱥ ᱵᱟᱡᱤ ᱴᱟᱠᱟ᱾ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱠᱚ ᱭᱩᱱᱤᱴ ᱛᱮ ᱵᱩᱡᱷᱟᱹᱣᱚᱜ-ᱟ ᱡᱮᱢᱚᱱ ᱡᱟᱦᱟᱸᱱ ᱴᱮᱵᱩᱞ ᱨᱮ ᱞᱟᱹᱜᱩ ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ σ ᱫᱚ 5.84, ᱟᱨᱟᱜᱵᱟᱡᱤᱟᱨᱟᱜ18 ᱟᱨᱟᱜ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱨᱩᱡᱽ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮᱭᱟᱜ ᱠᱚᱢ ᱵᱮᱥᱤ 1 ᱛᱩᱞᱟᱹ ᱨᱮ, ᱚᱱᱟᱛᱮ ᱯᱩᱸᱡᱤ ᱫᱚ ᱡᱮᱞᱮᱧ ᱥᱩᱠᱷᱟᱹ ᱚᱠᱛᱚ ᱦᱟᱹᱵᱤᱡ ᱛᱟᱦᱮᱸᱱ ᱞᱟᱹᱠᱛᱤᱭᱟ᱾ 200 ᱜᱷᱩᱨᱟᱹᱣ ᱢᱤᱰᱤᱭᱟᱱ ᱞᱟᱹᱜᱤᱫ ᱟᱨᱟᱜ ᱨᱮ ᱠᱚᱢ ᱵᱮᱥᱤ 13 B/s ᱟᱨ ᱢᱤᱫ ᱮᱞ ᱨᱮ ᱠᱚᱢ ᱵᱮᱥᱤ 56 ᱞᱟᱹᱠᱛᱤᱭᱟ, ᱠᱚᱢ ᱵᱮᱥᱤ ᱯᱩᱱ ᱫᱷᱟᱣ ᱵᱟᱡᱤ ᱴᱟᱠᱟ᱾ ᱢᱤᱰᱤᱭᱟᱱ ᱨᱮ ᱥᱴᱨᱮᱴ ᱚᱯ ᱨᱮᱭᱟᱜ 200 ᱜᱷᱩᱨᱟᱹᱣ ᱦᱟᱹᱵᱤᱡ ᱛᱟᱦᱮᱸᱱ ᱞᱟᱹᱜᱤᱫ $500 ᱠᱷᱮᱞ ᱯᱩᱸᱡᱤ ᱨᱮ ᱠᱚᱢ ᱵᱮᱥᱤ $9 ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱞᱟᱹᱠᱛᱤᱭᱟ᱾ $500 ᱠᱷᱚᱱ $25 ᱥᱴᱨᱮᱴ ᱚᱯ ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣᱤᱡ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱫᱚ ᱢᱤᱫ ᱦᱩᱰᱤᱧ, ᱥᱟᱰᱮ ᱧᱤᱫᱟᱹ ᱠᱚ ᱠᱤᱨᱤᱧ ᱮᱫᱟ: ᱞᱟᱜᱟᱛᱟᱨ ᱵᱟᱨ ᱜᱮᱞ ᱵᱟᱝ ᱦᱤᱴ ᱛᱮ ᱚᱱᱟ ᱢᱩᱪᱟᱹᱫᱚᱜ-ᱟ, ᱟᱨ ᱱᱚᱶᱟ ᱫᱚ ᱟᱫᱷᱟ ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱫᱷᱟᱣ ᱦᱩᱭᱩᱜ-ᱟ᱾
ᱥᱟᱹᱨᱤ ᱫᱟᱢ ᱛᱟᱹᱞᱤᱠᱟᱹ
ᱨᱩᱞᱮᱴ ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ ᱫᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ × ᱜᱷᱩᱨᱟᱹᱣ / 37᱾ ᱮᱴᱟᱜ ᱡᱚᱛᱚ, ᱥᱤᱥᱴᱮᱢ, ᱵᱷᱟᱜᱚ ᱮᱞ, ᱦᱮᱡᱤᱝ, ᱫᱚ ᱧᱤᱫᱟᱹ ᱨᱮᱭᱟᱜ ᱨᱩᱯ ᱜᱮ ᱴᱷᱟᱹᱣᱠᱟᱹᱣᱟ, ᱫᱟᱢ ᱫᱚ ᱵᱟᱝ᱾ ᱡᱟᱦᱟᱸ ᱠᱷᱮᱞᱚᱸᱰ ᱮᱦᱚᱵ ᱨᱮ ᱫᱟᱢ ᱮ ᱦᱤᱥᱟᱹᱵᱟ ᱟᱨ ᱡᱟᱦᱟᱸ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱮᱢ ᱨᱮ ᱟᱡ ᱠᱩᱥᱤ ᱚᱱᱟ ᱮ ᱵᱟᱪᱷᱟᱣᱟ, ᱩᱱᱤ ᱫᱚ ᱥᱴᱨᱮᱴᱮᱡᱤ ᱨᱮᱭᱟᱜ ᱚᱱᱟ ᱢᱤᱫ ᱦᱟᱹᱴᱤᱧ ᱠᱟᱹᱢᱤ ᱮ ᱠᱟᱹᱢᱤ ᱟᱠᱟᱫᱟ ᱡᱟᱦᱟᱸ ᱫᱚ ᱥᱟᱹᱨᱤ ᱛᱮ ᱠᱟᱹᱢᱤᱭᱟ᱾
ᱯᱷᱚᱨᱢᱩᱞᱟ
ᱠᱩᱠᱞᱤ ᱠᱚ
ᱴᱷᱤᱠ ᱯᱷᱚᱨᱢᱩᱞᱟ ᱫᱚ ᱵᱟᱹᱱᱩᱜ-ᱟ᱾ ᱦᱩᱰᱤᱧ ᱯᱩᱸᱡᱤ ᱨᱮ ᱪᱮᱛᱟᱱ-ᱞᱟᱛᱟᱨ ᱜᱮ ᱢᱟᱨᱟᱝ ᱟᱨ ᱢᱤᱰᱤᱭᱟᱱ ᱫᱚ ᱠᱚᱢ ᱵᱮᱥᱤ (B/s)² ᱞᱮᱠᱟ ᱵᱟᱹᱲᱛᱤᱭᱚᱜ-ᱟ, ᱱᱤᱭᱟᱭ ᱥᱤᱠᱟᱹ ᱞᱮᱠᱟ᱾ ᱢᱟᱨᱟᱝ ᱯᱩᱸᱡᱤ ᱨᱮ ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱜᱮ ᱢᱟᱨᱟᱝ ᱟᱨ ᱢᱤᱰᱤᱭᱟᱱ ᱫᱚ ᱟᱣᱥᱚᱛ, 37 × B/s, ᱥᱮᱫ ᱥᱮᱴᱮᱨᱚᱜ-ᱟ᱾ ᱠᱚᱢ ᱵᱮᱥᱤ 20 ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮ (B/s)² ᱱᱤᱭᱚᱢ ᱫᱚ ᱴᱷᱤᱠ ᱢᱤᱰᱤᱭᱟᱱ, 394 ᱜᱷᱩᱨᱟᱹᱣ ᱥᱟᱶ ᱢᱤᱞᱟᱹᱣᱚᱜ-ᱟ; ᱚᱱᱟ ᱠᱷᱚᱱ ᱞᱟᱛᱟᱨ ᱨᱮ ᱠᱚᱢ ᱟᱨ ᱪᱮᱛᱟᱱ ᱨᱮ ᱵᱮᱥᱤ ᱦᱩᱭᱩᱜ-ᱟ᱾
ᱚᱱᱟ ᱫᱚ ᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱵᱟᱹᱲᱤᱡ ᱫᱚᱥᱟ ᱛᱷᱤᱨᱟ ᱟᱨ ᱥᱮᱥᱚᱱ ᱦᱩᱰᱤᱧᱟ, ᱚᱱᱟᱛᱮ ᱵᱟᱝ ᱠᱷᱮᱞ ᱜᱷᱩᱨᱟᱹᱣ ᱞᱮᱠᱷᱟ ᱛᱮ ᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤ ᱠᱚᱢᱚᱜ-ᱟ᱾
ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤᱵᱟᱡᱤᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤᱟᱨᱟᱜ/ᱦᱮᱸᱫᱮ, ᱵᱤᱡᱳᱲ/ᱡᱳᱲ, ᱢᱟᱨᱟᱝ/ᱦᱩᱰᱤᱧ᱾ 18 ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 1:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱢᱤᱫ ᱜᱷᱟᱸᱴᱟ ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ ᱟᱫᱷᱟ ᱦᱩᱭᱩᱜ-ᱟ ᱟᱨ ᱟᱣᱥᱚᱛ ᱯᱩᱸᱡᱤ ᱢᱩᱪᱟᱹᱫ ᱚᱠᱛᱚ ᱵᱟᱨ ᱫᱷᱟᱣ, 74 × B/s ᱜᱷᱩᱨᱟᱹᱣ ᱦᱩᱭᱩᱜ-ᱟ᱾
ᱜᱚᱱᱤᱛ ᱥᱟᱶ ᱨᱟᱹᱥᱠᱟᱹ
ᱱᱚᱶᱟ ᱠᱚ ᱯᱩᱭᱞᱩ ᱟᱯᱮ ᱛᱮ ᱠᱩᱨᱩᱢᱩᱴᱩ ᱯᱮ᱾ ᱢᱤᱫ ᱢᱤᱫ ᱥᱚᱢᱟᱫᱷᱟᱱ ᱫᱚ ᱩᱠᱩ ᱢᱮᱱᱟᱜ-ᱟ; ᱛᱮᱭᱟᱨ ᱦᱩᱭ ᱠᱟᱛᱮ ᱡᱷᱤᱡᱽ ᱯᱮ᱾
ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱪᱟᱠᱟ ᱨᱮ ᱟᱯᱮ ᱟᱨᱟᱜᱵᱟᱡᱤᱟᱨᱟᱜ18 ᱟᱨᱟᱜ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱨᱩᱡᱽ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ $500 ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣ ᱮᱫᱟ ᱯᱮ, ᱢᱤᱫ ᱫᱷᱟᱣ ᱨᱮ $10, ᱵᱟᱝ ᱛᱤᱝᱜᱩ ᱱᱤᱭᱚᱢ ᱛᱮ᱾ ᱟᱣᱥᱚᱛ ᱛᱮ ᱠᱷᱮᱞ ᱯᱩᱸᱡᱤᱴᱟᱠᱟᱠᱷᱮᱞ ᱯᱩᱸᱡᱤᱠᱷᱮᱞ ᱞᱟᱹᱜᱤᱫ ᱟᱞᱟᱜ ᱫᱚᱦᱚ ᱟᱠᱟᱱ ᱡᱚᱛᱚ ᱴᱟᱠᱟ᱾ ᱠᱷᱮᱞ ᱯᱩᱸᱡᱤ ᱥᱟᱢᱵᱷᱟᱞ ᱫᱚ ᱢᱮᱱᱮᱛ ᱢᱤᱫ ᱵᱟᱡᱤ ᱟᱨ ᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱨᱮ ᱚᱱᱟ ᱠᱷᱚᱱ ᱛᱤᱱᱟᱹᱜ ᱡᱚᱠᱷᱤᱢ ᱨᱮ ᱫᱚᱦᱚᱭ ᱚᱱᱟ ᱴᱷᱟᱹᱣᱠᱟᱹ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱛᱤᱱᱟᱹᱜ ᱜᱷᱩᱨᱟᱹᱣ ᱦᱟᱹᱵᱤᱡ ᱥᱮᱴᱮᱨᱚᱜ-ᱟ?
ᱥᱚᱢᱟᱫᱷᱟᱱ ᱩᱫᱩᱜ
ᱛᱮᱞᱟ 1,850 ᱜᱷᱩᱨᱟᱹᱣ: 50 ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱡᱚᱛᱚ ᱞᱟᱹᱜᱤᱫ 37 ᱜᱷᱩᱨᱟᱹᱣ᱾
ᱡᱚᱛᱚ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ ᱟᱣᱥᱚᱛ ᱛᱮ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ 1/37: $10/37, ᱡᱟᱦᱟᱱ 27 ᱥᱮᱱᱴ᱾ ᱯᱩᱸᱡᱤ ᱨᱮ 50 ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱢᱮᱱᱟᱜ-ᱟ, ᱟᱨ ᱡᱚᱛᱚ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ 1/37 ᱦᱟᱨᱟᱣ ᱛᱮ 50 ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱢᱩᱪᱟᱹᱫ ᱞᱟᱹᱜᱤᱫ 50 × 37 = 1,850 ᱜᱷᱩᱨᱟᱹᱣ ᱞᱟᱹᱠᱛᱤᱭᱟ᱾
ᱩᱪᱟᱹᱲ ᱞᱟᱛᱟᱨ ᱫᱚ ᱱᱚᱣᱟ ᱟᱣᱥᱚᱛ ᱵᱟᱝ ᱵᱚᱫᱚᱞᱟ, ᱪᱮᱫᱟᱜ ᱥᱮ ᱥᱮᱥᱚᱱ ᱫᱚ ᱡᱤᱨᱚ ᱨᱮ ᱜᱮ ᱢᱩᱪᱟᱹᱫᱚᱜ-ᱟ ᱟᱨ ᱚᱱᱟ ᱞᱟᱦᱟ ᱨᱮᱭᱟᱜ ᱡᱚᱛᱚ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ ᱟᱣᱥᱚᱛ ᱛᱮ ᱚᱱᱟ ᱜᱮ 27 ᱥᱮᱱᱴ᱾ ᱩᱱᱠᱩ ᱫᱚ ᱯᱟᱥᱱᱟᱣ ᱠᱚ ᱵᱚᱫᱚᱞᱟ: ᱡᱚᱛᱚ ᱥᱮᱥᱚᱱ ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ ᱫᱚ 1,364 ᱜᱷᱩᱨᱟᱹᱣ ᱞᱟᱦᱟ ᱨᱮ ᱢᱩᱪᱟᱹᱫᱚᱜ-ᱟ, ᱟᱨ ᱤᱥᱤ ᱨᱮ ᱢᱤᱫ ᱡᱟᱦᱟᱱ 5,000 ᱠᱷᱚᱱ ᱦᱚᱸ ᱡᱟᱹᱥᱛᱤ ᱥᱮᱴᱮᱨᱚᱜ-ᱟ, ᱚᱱᱟ ᱫᱚ ᱟᱣᱥᱚᱛ ᱪᱮᱛᱟᱱ ᱥᱮᱫ ᱮ ᱟᱨᱟᱜᱟ᱾
ᱮᱯᱥᱴᱟᱭᱤᱱ (Epstein, 2013) ᱥᱟᱫᱷᱟᱨᱚᱬ ᱱᱤᱭᱚᱢ ᱮ ᱮᱢ ᱟᱠᱟᱫᱟ: ᱡᱟᱦᱟᱸ ᱠᱮᱥᱤᱱᱳ ᱨᱮᱭᱟᱜ ᱴᱟᱠᱟ ᱵᱟᱝ ᱢᱩᱪᱟᱹᱫᱚᱜ-ᱟ ᱚᱱᱟ ᱵᱤᱨᱩᱫᱷ ᱨᱮ, z ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱯᱩᱸᱡᱤ ᱫᱚ z ᱠᱮ ᱡᱚᱛᱚ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮᱭᱟᱜ ᱵᱟᱲᱛᱤ ᱛᱮ ᱦᱟᱹᱴᱤᱧ ᱞᱮᱠᱟ ᱜᱷᱩᱨᱟᱹᱣ ᱦᱟᱹᱵᱤᱡ ᱥᱮᱴᱮᱨᱚᱜ-ᱟ᱾ ᱟᱢᱮᱨᱤᱠᱟᱱ ᱪᱟᱠᱟ ᱨᱮ, ᱡᱟᱦᱟᱸ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱡᱚᱛᱚ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ 1/19 ᱦᱟᱨᱟᱣᱚᱜ-ᱟ, ᱚᱱᱟ ᱜᱮ $500 ᱟᱣᱥᱚᱛ ᱛᱮ 950 ᱜᱷᱩᱨᱟᱹᱣ ᱦᱟᱹᱵᱤᱡ ᱥᱮᱴᱮᱨᱚᱜ-ᱟ᱾
ᱞᱟᱸᱫᱟ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢᱤᱠ
ᱵᱟᱡᱤ ᱴᱟᱠᱟ × ᱜᱷᱩᱨᱟᱹᱣ / 37᱾ ᱧᱤᱫᱟᱹ ᱮᱦᱚᱵ ᱞᱟᱦᱟ ᱨᱮ ᱜᱮ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱫᱟᱢ ᱦᱤᱥᱟᱹᱵ ᱯᱮ᱾
ᱯᱷᱮᱰᱟᱛ
- Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1.
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.