Ehtimollar nazariyasi va matematik statistikadan masalalar va ularni yechishga doir ko
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ehtimollar nazariyasi va matematik statistikadan masalalar va ularni yechishga doir korsatmalar
0.49865 0.49931 0.49966 0.499841 0.499828 0.499968 0.499997 0.499997 3-Ilova. ) , ( n t t qiymatlar jadvali. n 0.95 0.99 0.999 n 0.95 0.99 0.999 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2.78 2.57 2.45 2.37 2.31 2.26 2.23 2.20 2.18 2.16 2.15 2.13 2.12 2.11 2.10 4.60 4.03 3.71 3.50 3.36 3.25 3.17 3.11 3.06 3.01 2.98 2.95 2.92 2.90 2.88 8.61 6.86 5.96 5.41 5.04 4.78 4.59 4.44 4.32 4.22 4.14 4.07 4.02 3.97 3.92 20 25 30 35 40 45 50 60 70 80 90 100 120 2.093 2.064 2.045 2.032 2.023 2.016 2.009 2.001 1.996 1.001 1.987 1.984 1.980 1.960 2.861 2.797 2.756 2.729 2.708 2.692 2.679 2.662 2.649 2.640 2.633 2.927 2.617 2.576 3.883 3.745 3.659 3.600 3.558 3.527 3.502 3.464 3.439 3.418 3.403 3.392 3.374 3.291 112 4-Ilova. ) , ( n q q qiymatlar jadvali n 0.95 0.99 0.999 n 0.95 0.99 0.999 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1.37 1.09 0.92 0.80 0.71 0.65 0.59 0.55 0.52 0.48 0.46 0.44 0.42 0.40 0.39 2.67 2.01 1.62 1.38 1.20 1.08 0.98 0.90 0.83 0.78 0.73 0.70 0.66 0.63 0.60 5.64 3.88 2.98 2.42 2.06 1.80 1.60 1.45 1.33 1.23 1.15 1.07 1.01 0.96 0.92 20 25 30 35 40 45 50 60 70 80 90 100 150 200 250 0.37 0.32 0.28 0.26 0.24 0.22 0.21 0.188 0.174 0.161 0.151 0.143 0.115 0.099 0.089 0.58 0.49 0.43 0.38 0.35 0.32 0.30 0.269 0.245 0.226 0.211 0.198 0.160 0.136 0.120 0.88 0.73 0.63 0.56 0.50 0.46 0.43 0.38 0.34 0.31 0.29 0.27 0.211 0.185 0.162 113 5-Ilova. 2 taqsimotning kritik nuqtalari Ozоdlik darajalari soni k qiymatdorlik darajasi 0.01 0.025 0.05 0.95 0.975 0.99 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 6.6 9.2 11.3 13.3 15.1 16.8 18.5 20.1 21.7 23.2 24.7 26.2 27.7 29.1 30.6 32.0 33.4 34.8 36.2 37.6 38.9 40.3 41.6 43.0 44.3 45.6 47.0 48.3 49.6 50.9 5.0 7.4 9.4 11.1 12.8 14.4 16.0 17.5 19.0 20.5 21.9 23.3 24.7 26.1 27.5 28.8 30.2 31.5 32.9 34.2 35.5 36.8 38.1 39.4 40.6 41.9 43.2 44.5 45.7 47.0 3.8 6.0 7.8 9.5 11.1 12.6 14.1 15.5 16.9 18.3 19.7 21.0 22.4 23.7 25.0 26.3 27.6 28.9 30.1 31.4 32.7 33.9 35.9 36.4 37.7 38.9 40.1 41.3 42.6 43.8 0.0039 0.103 0.352 0.711 1.15 1.64 2.17 2.73 3.33 3.94 4.57 5.23 5.89 6.57 7.26 7.96 8.67 9.39 10.1 10.9 11.6 12.3 13.1 13.8 14.6 15.4 16.2 16.9 17.7 18.5 0.00098 0.051 0.216 0.484 0.831 1.24 1.69 2.18 2.70 3.25 3.82 4.40 5.01 5.63 6.26 6.91 7.56 8.23 8.91 9.59 10.3 11.0 11.7 12.4 13.1 13.8 14.6 15.3 16.0 16.8 0.00016 0.020 0.115 0.297 0.554 0.872 1.24 1.65 2.09 2.56 3.05 3.57 4.11 4.66 5.23 5.81 6.41 7.01 7.63 8.26 8.90 9.54 10.2 10.9 11.5 12.2 12.9 13.6 14.3 15.0 114 Foydalanilgan adabiyotlar 1. Adirov Т.Х., Mamurov E.N. Ehtimollar nazariyasi va matematik statistika fanidan uslubiy ko‘satmalar va nazorat ishi variantlari, Toshkent, 1999-yil. 2. Бульдык Г.М. Теория вероятностей и математическая статистика. Киев, 1989 г. 3. Gurmanov V.E. Ehtimollar nazariyasi va matematik statistikadan masalalar yechishga doir qo‘llanma. Toshkent, “O‘qituvchi”, 1980-yil. 4. Гмурман В.Е. Теория вероятностей и математическая статистика. Москва, 1998 г. 5. Замков О.О. и др. Математические методы в экономике. - М.,1998 г. 6. Зайцев И.А. Высшая математика, Москва, 1991 г. 7. Колемаев В.А. и др, Теория вероятностей и математическая статистика. Москва, 1991 г. 8. Soatov Yo.O‘. Oliy matematika. Toshkent, 3-jild, 1996- yil. 9. Mamurov E.N., Adirov Т.Х. Ehtimollar nazariyasi va matematik statistika fanidan ma‘ruza matnlari to‘plami. Toshkent, 2000-yil. 10. Adirov Т.Х., Hamidov I.М. Ehtimollar nazariyasi va matematik statistikadan masalalar to‘plami va ularni yechishga doir ko‘rsatmalar. Toshkent, 2003-yil. 11. Adirov Т.Х., Mamurov E.N., Ehtimollar nazariyasi va matematik statistika. O‘quv qo‘llanma. Toshkent, 2005-yil. 115 M U N D A R I J A I qism.Ehtimollar nazariyasi 1.Ehtimolning klassik va statistik ta’riflari...............................................3 2.Geometrik ehtimollar.............................................................................7 3. Ehtimollarni qo‘shish va ko‘paytirish teoremalari................................9 4. To‘la ehtimol formulasi. Bayes formulalari.......................................15 5. Erkli sinovlar ketma-ketligi. Bernulli formulasi. Eng ehtimolli son...20 6. Muavr-Laplasning lokal va intеgral tеorеmalari. Puasson formulasi..................................................................................23 7. Tasodifiy miqdorlar. Diskret tasodifiy miqdorlarning taqsimot qonuni.......................................................................................29 8. Diskret tasodifiy miqdorning matematik kutilishi, dispersiyasi, o‘rtacha kvadratik chetlanishi va ularning xossalari...............................34 9. Uzluksiz tasodifiy miqdorlar. Ehtimollar taqsimotining zichlik funksiyasi....................................................................................40 10. Uzluksiz tasodifiy miqdorlarning matematik kutilishi, dispersiyasi va o‘rtacha kvadratik chetlanishi.........................................47 11. Katta sonlar qonuni...........................................................................56 II qism. Matematik statistika elementlari 1. Tanlamaning statistik taqsimoti. Empirik taqsimot funksiyasi. Poligon va gistogramma..........................................................................61 2. Taqsimot parametrlarinig statistik baholari. Tanlanmaning asosiy sonli xarakteristikalari.............................................................................70 3.Matematik kutilish va dispersiya uchun ishonchli oraliqlar................74 4.Shartli o‘rtacha qiymatlar. Korrelatsion jadval. Regressiya tenglamasi. Chiziqli korrelatsiya...........................................................78 5. Tanlanma korrelatsion nisbat. Egri chiziqli va to‘plam korrelatsiya............................................................................................88 6. Matematik statistikada ko‘p ishlatiladigan taqsimotlar. Statistik gipotezalarni tekshirish. Gipotezalarni Pirsonning muvofiqlik kriteriysi bo‘yicha tekshirish...................................................................93 7. Barcha mavzularga oid turli masalalar.............................................102 Javoblar................................................................................................106 Ilovalar……………………………………………………………….112 Foydalanilgan adabiyotlar……………….………………………....117 116 Adirov T. X., Mamurov E.N. EHTIMOLLAR NAZARIYASI VA MATEMATIK STATISTIKADAN MASALALAR VA ULARNI YECHISHGA DOIR KO‘RSATMALAR Muharrir H. Teshaboyev Kompyuterda sahifalovchi B. Gafurova Bosishga ruxsat etildi 09.11.2007. Qog‘oz bichimi 60х84 16 1 Hisob nashr tabog‘i 7.5. б.т. Adadi 400. Buyurtma № 271 “IQTISOD-MOLIYA” nashriyoti, 700084, Toshkent, Kichik halqa yo‘li ko‘chasi, 7-uy. Toshkent Moliya instituti bosmaxonasida rizografiya usulida chop etildi. 700084, Toshkent, Kichik halqa yo‘li ko‘chasi, 7-uy. Download 1.58 Mb. Do'stlaringiz bilan baham: |
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