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  1. 1. Выполняем пункты 1-6 из первой л.р. для потока X(t)теор.
  2. 1.1 Генерируем поток X(t)теор. с интенсивностью lambda = lambda1 + lambda2 = 1.2778.
  3. Построить потоки? (y/n) n
  4. Матрица потоков:
  5. {11, 5, 7, 5, 13, 5, 7, 5, 6, 5, 2, 5, 5, 7, 6, 5, 1, 8, 5, 6, 5, 2, 0, 0, 0}
  6. {4, 8, 4, 6, 4, 3, 5, 1, 3, 1, 10, 7, 3, 6, 4, 5, 7, 8, 3, 5, 3, 8, 7, 7, 4}
  7. {3, 5, 3, 5, 4, 7, 6, 9, 5, 2, 6, 6, 6, 3, 4, 6, 4, 5, 10, 5, 6, 3, 7, 3, 3}
  8. {0, 7, 5, 7, 6, 5, 4, 8, 5, 3, 3, 5, 3, 7, 7, 8, 2, 4, 3, 3, 7, 6, 5, 8, 5}
  9. {5, 4, 6, 4, 6, 5, 7, 5, 1, 7, 8, 3, 8, 5, 5, 5, 7, 6, 6, 8, 4, 4, 2, 3, 2}
  10. {8, 7, 4, 4, 3, 8, 3, 4, 3, 7, 7, 9, 7, 8, 5, 3, 6, 7, 7, 5, 7, 4, 0, 0, 0}
  11. {6, 4, 3, 5, 2, 7, 13, 10, 6, 5, 4, 5, 8, 7, 6, 3, 2, 4, 1, 5, 6, 1, 6, 7, 0}
  12. {8, 3, 8, 6, 3, 4, 8, 6, 7, 4, 10, 4, 5, 10, 6, 5, 4, 5, 8, 6, 2, 4, 0, 0, 0}
  13. {10, 3, 5, 5, 8, 5, 5, 6, 3, 4, 4, 5, 7, 8, 4, 3, 1, 4, 7, 5, 9, 3, 3, 9, 0}
  14. {6, 6, 7, 5, 4, 5, 4, 6, 4, 3, 5, 6, 2, 5, 5, 3, 7, 7, 5, 7, 5, 5, 6, 5, 3}
  15. {3, 3, 1, 4, 3, 6, 3, 4, 2, 6, 3, 3, 2, 4, 5, 4, 12, 5, 5, 5, 3, 11, 6, 5, 4}
  16. {7, 6, 9, 1, 4, 5, 3, 7, 4, 4, 3, 6, 5, 10, 2, 6, 5, 3, 5, 5, 5, 4, 9, 8, 0}
  17. {3, 5, 9, 6, 2, 6, 6, 5, 3, 8, 4, 6, 3, 5, 6, 2, 6, 6, 5, 2, 5, 3, 2, 7, 3}
  18. {7, 6, 6, 5, 1, 8, 1, 5, 3, 3, 7, 4, 3, 2, 8, 2, 4, 6, 4, 7, 5, 8, 6, 11, 4}
  19. {7, 3, 1, 7, 7, 4, 6, 5, 6, 2, 9, 4, 5, 7, 1, 6, 4, 1, 11, 5, 6, 3, 6, 3, 3}
  20. {3, 5, 7, 7, 4, 4, 4, 7, 3, 5, 4, 9, 9, 6, 7, 4, 4, 6, 3, 4, 4, 5, 4, 3, 5}
  21. {7, 3, 7, 5, 6, 5, 3, 4, 6, 5, 4, 7, 3, 4, 9, 2, 2, 3, 6, 2, 5, 4, 7, 3, 7}
  22. {7, 6, 4, 4, 0, 8, 5, 9, 10, 1, 7, 4, 4, 5, 1, 3, 5, 4, 5, 4, 4, 0, 7, 6, 5}
  23. {11, 4, 6, 1, 6, 5, 6, 2, 7, 8, 4, 6, 3, 6, 9, 5, 4, 9, 5, 2, 3, 7, 5, 2, 0}
  24. {10, 4, 10, 5, 8, 9, 6, 4, 4, 5, 6, 7, 4, 7, 5, 2, 5, 2, 4, 6, 6, 4, 3, 0, 0}
  25. {7, 1, 7, 6, 4, 6, 4, 5, 6, 5, 5, 6, 4, 6, 5, 1, 4, 2, 4, 4, 7, 6, 5, 7, 8}
  26. {4, 10, 7, 3, 8, 2, 5, 4, 6, 3, 2, 6, 5, 7, 7, 7, 5, 6, 4, 4, 5, 4, 5, 7, 0}
  27. {5, 7, 5, 6, 5, 9, 6, 4, 11, 9, 4, 9, 6, 4, 6, 4, 6, 5, 5, 7, 3, 0, 0, 0, 0}
  28. {2, 5, 3, 8, 4, 2, 6, 6, 7, 3, 3, 5, 6, 6, 3, 10, 5, 8, 5, 6, 3, 4, 5, 4, 6}
  29. {7, 9, 8, 7, 1, 2, 8, 9, 1, 3, 6, 6, 7, 2, 3, 8, 2, 1, 6, 8, 3, 5, 4, 3, 4}
  30. {6, 3, 5, 5, 5, 5, 6, 8, 7, 9, 3, 3, 3, 6, 6, 6, 4, 3, 4, 4, 6, 8, 2, 4, 2}
  31. {9, 6, 5, 5, 4, 4, 3, 1, 9, 5, 4, 4, 7, 3, 8, 5, 6, 3, 5, 5, 6, 3, 4, 4, 2}
  32. {4, 5, 5, 4, 4, 5, 3, 3, 4, 5, 5, 4, 10, 6, 7, 10, 1, 5, 4, 5, 5, 4, 4, 4, 6}
  33. {2, 4, 5, 5, 7, 4, 7, 6, 3, 4, 7, 5, 10, 3, 2, 5, 6, 6, 10, 2, 7, 6, 0, 8, 2}
  34. {7, 6, 4, 4, 7, 7, 5, 9, 5, 5, 8, 4, 4, 4, 5, 3, 10, 7, 6, 8, 2, 3, 3, 0, 0}
  35. {2, 6, 6, 3, 10, 9, 7, 3, 7, 3, 2, 5, 5, 7, 4, 4, 5, 11, 8, 10, 6, 3, 0, 0, 0}
  36. {7, 4, 8, 5, 8, 4, 4, 9, 4, 5, 5, 5, 7, 6, 6, 6, 6, 5, 7, 4, 9, 2, 0, 0, 0}
  37. {6, 7, 3, 4, 6, 5, 4, 2, 3, 5, 3, 9, 5, 4, 7, 5, 5, 8, 6, 2, 2, 3, 6, 4, 7}
  38. {4, 7, 7, 6, 4, 3, 5, 8, 4, 4, 4, 6, 5, 4, 4, 7, 10, 7, 4, 8, 4, 4, 5, 2, 0}
  39. {8, 5, 3, 4, 2, 4, 6, 5, 4, 8, 4, 5, 8, 5, 4, 9, 4, 6, 5, 5, 5, 5, 4, 1, 5}
  40. {5, 5, 4, 4, 3, 4, 8, 3, 5, 6, 5, 7, 4, 4, 2, 8, 6, 3, 6, 3, 6, 8, 2, 5, 4}
  41. {5, 7, 8, 7, 4, 5, 9, 9, 3, 3, 3, 3, 6, 3, 5, 0, 7, 7, 2, 3, 6, 3, 6, 5, 1}
  42. {3, 7, 5, 8, 1, 8, 1, 5, 3, 7, 6, 1, 0, 4, 4, 5, 5, 5, 10, 5, 5, 9, 7, 6, 3}
  43. {4, 3, 4, 3, 7, 5, 4, 5, 1, 6, 5, 5, 4, 4, 5, 5, 5, 1, 4, 5, 6, 7, 6, 8, 6}
  44. {7, 3, 7, 1, 2, 6, 3, 6, 8, 4, 5, 4, 4, 4, 4, 9, 5, 4, 6, 5, 3, 4, 5, 4, 5}
  45. {4, 3, 7, 3, 3, 5, 6, 6, 4, 2, 2, 4, 2, 7, 6, 4, 2, 7, 7, 4, 3, 8, 6, 2, 3}
  46. {4, 3, 4, 6, 3, 6, 5, 7, 3, 4, 3, 10, 5, 9, 8, 5, 5, 2, 3, 8, 8, 5, 1, 3, 6}
  47. {5, 5, 4, 3, 8, 5, 5, 4, 9, 6, 10, 2, 1, 3, 6, 6, 4, 9, 4, 7, 3, 4, 5, 4, 4}
  48. {7, 3, 4, 11, 6, 8, 5, 4, 4, 3, 8, 7, 4, 4, 7, 4, 4, 4, 5, 7, 5, 5, 3, 4, 0}
  49. {6, 3, 6, 4, 4, 3, 7, 5, 6, 5, 8, 7, 6, 7, 6, 4, 6, 6, 7, 8, 4, 5, 3, 0, 0}
  50. {5, 4, 5, 3, 10, 4, 5, 8, 6, 5, 3, 5, 10, 6, 6, 6, 6, 4, 9, 6, 6, 2, 2, 0, 0}
  51. {7, 4, 5, 2, 8, 6, 5, 7, 2, 5, 5, 5, 8, 3, 7, 4, 6, 4, 8, 7, 1, 7, 4, 6, 0}
  52. {5, 4, 9, 4, 4, 6, 4, 8, 3, 7, 4, 4, 1, 3, 8, 1, 5, 6, 3, 6, 9, 7, 4, 1, 2}
  53. {4, 9, 7, 7, 3, 7, 3, 3, 4, 3, 9, 4, 4, 5, 4, 6, 4, 6, 5, 4, 5, 6, 8, 6, 0}
  54. {5, 7, 6, 7, 4, 7, 7, 3, 4, 5, 5, 3, 7, 4, 3, 4, 4, 6, 2, 1, 5, 5, 3, 6, 4}
  55.  
  56. 1.3. Сводная таблица моделей.
  57. эта: { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
  58. эн: { 42, 39, 69, 160, 232, 236, 180, 140, 75, 41, 25, 8, 1, 2}
  59. эта*эн: { 0, 39, 138, 480, 928, 1180, 1080, 980, 600, 369, 250, 88, 12, 26}
  60. nlтеор: {8.979093, 44.320801, 109.383737, 179.972709, 222.086322, 219.243618, 180.364416, 127.182680, 78.471713, 43.037375, 21.243248, 9.532425, 3.921004}
  61. [(nl - nlтеор)^2 /nlтеор]: {121.435470, 0.638773, 14.909403, 2.216498, 0.442535, 1.280659, 0.000736, 1.291714, 0.153594, 0.096449, 0.664361, 0.246351, 2.176041}
  62.  
  63. N = 1250 (формула (1.8)
  64.  
  65. 1.4. Проверка гипотезы о пуассоновости потока.
  66. хи^2 практическое = 145.552584 (формула 1.10)
  67. хи^2 критическое = 13.0905 (для нашего случая n=23, epsilon = 0.05)
  68.  
  69. хи^2 практическое >= хи^2 критическое, соответственно гипотеза о пуассоновости потока НЕ подтверждена.
  70.  
  71. ==========================
  72. 2. Генерируем пуассоновские потоки X1(t) и X2(t) с интенсивностями 0.5833 и 0.6944 соответственно...завершено.
  73. Построить потоки? (y/n) n
  74. Суммарный поток X(t)практ = X1(t) + X2(t).
  75. {5, 4, 6, 3, 5, 7, 1, 3, 6, 1, 5, 4, 8, 2, 0, 5, 6, 6, 5, 3, 9, 5, 4, 7, 6}
  76. {5, 4, 2, 7, 9, 4, 0, 1, 4, 2, 7, 2, 4, 6, 8, 4, 6, 8, 2, 3, 1, 4, 6, 7, 6}
  77. {5, 8, 1, 5, 14, 6, 8, 4, 8, 5, 6, 1, 5, 8, 4, 5, 4, 6, 3, 4, 6, 8, 4, 4, 10}
  78. {6, 4, 3, 3, 8, 6, 3, 4, 6, 9, 2, 4, 3, 4, 10, 4, 5, 11, 7, 5, 4, 7, 4, 5, 7}
  79. {6, 7, 6, 2, 6, 3, 3, 5, 5, 6, 4, 10, 4, 10, 6, 11, 4, 4, 5, 4, 4, 0, 11, 3, 6}
  80. {2, 2, 4, 3, 4, 5, 6, 4, 5, 3, 7, 6, 4, 2, 4, 7, 3, 5, 6, 1, 6, 2, 5, 6, 4}
  81. {6, 3, 8, 8, 6, 2, 9, 7, 5, 4, 1, 5, 11, 7, 5, 7, 5, 5, 2, 8, 6, 2, 7, 4, 5}
  82. {5, 6, 5, 2, 5, 5, 5, 3, 8, 6, 5, 3, 5, 2, 7, 3, 6, 7, 5, 4, 9, 4, 10, 4, 7}
  83. {6, 7, 5, 4, 7, 3, 3, 6, 5, 6, 3, 4, 9, 5, 8, 5, 4, 5, 5, 2, 3, 7, 4, 8, 3}
  84. {5, 4, 4, 4, 4, 5, 2, 5, 6, 6, 5, 2, 3, 4, 7, 2, 2, 1, 4, 5, 9, 4, 7, 5, 4}
  85. {4, 7, 6, 6, 5, 5, 3, 3, 3, 3, 5, 3, 7, 5, 11, 4, 3, 7, 3, 6, 6, 5, 2, 7, 6}
  86. {5, 9, 3, 3, 5, 4, 2, 3, 5, 5, 4, 5, 4, 3, 2, 7, 7, 5, 3, 9, 2, 7, 4, 4, 3}
  87. {3, 6, 6, 3, 7, 6, 5, 4, 8, 3, 6, 10, 5, 5, 10, 6, 8, 8, 7, 3, 2, 9, 3, 3, 7}
  88. {6, 3, 4, 7, 3, 7, 5, 10, 6, 3, 6, 3, 5, 3, 5, 2, 4, 5, 5, 5, 10, 8, 4, 5, 6}
  89. {2, 8, 7, 3, 7, 6, 4, 6, 6, 1, 4, 2, 6, 10, 4, 4, 5, 1, 7, 5, 5, 8, 2, 1, 9}
  90. {6, 3, 2, 4, 2, 3, 7, 3, 6, 4, 9, 8, 6, 6, 1, 5, 3, 4, 3, 1, 5, 2, 5, 6, 6}
  91. {3, 6, 2, 5, 7, 5, 5, 2, 6, 7, 3, 8, 4, 3, 1, 5, 6, 3, 8, 7, 8, 4, 4, 4, 1}
  92. {5, 3, 8, 3, 5, 7, 4, 2, 8, 5, 6, 8, 5, 10, 7, 5, 5, 2, 4, 7, 5, 4, 5, 8, 6}
  93. {3, 5, 6, 8, 4, 6, 6, 6, 9, 7, 6, 3, 6, 3, 3, 3, 3, 9, 9, 6, 4, 5, 9, 3, 2}
  94. {7, 3, 8, 7, 5, 6, 7, 5, 6, 10, 3, 5, 6, 6, 8, 9, 8, 5, 4, 5, 1, 6, 4, 4, 2}
  95. {4, 3, 4, 3, 3, 3, 5, 7, 4, 4, 4, 6, 3, 4, 7, 4, 2, 5, 8, 3, 8, 7, 3, 7, 7}
  96. {9, 4, 4, 5, 4, 8, 8, 3, 5, 2, 9, 4, 6, 4, 6, 3, 4, 10, 6, 5, 8, 4, 7, 2, 2}
  97. {4, 6, 7, 3, 4, 1, 4, 7, 4, 3, 4, 5, 4, 4, 8, 4, 9, 5, 6, 1, 5, 7, 3, 6, 8}
  98. {4, 10, 7, 7, 4, 5, 4, 3, 7, 2, 3, 5, 9, 4, 1, 7, 4, 7, 3, 6, 7, 2, 6, 2, 5}
  99. {4, 3, 7, 6, 5, 3, 7, 2, 6, 5, 3, 6, 4, 9, 2, 5, 3, 7, 4, 5, 5, 5, 3, 2, 7}
  100. {4, 10, 7, 7, 7, 5, 4, 4, 5, 3, 1, 4, 6, 10, 3, 6, 2, 4, 6, 10, 5, 6, 8, 8, 2}
  101. {5, 8, 7, 3, 1, 2, 7, 10, 7, 7, 1, 6, 7, 5, 4, 10, 8, 4, 6, 6, 4, 4, 5, 8, 6}
  102. {2, 5, 4, 3, 5, 5, 8, 4, 4, 10, 9, 7, 3, 8, 5, 3, 6, 3, 5, 6, 4, 4, 4, 4, 8}
  103. {5, 3, 2, 2, 8, 9, 5, 7, 4, 6, 9, 8, 5, 4, 6, 8, 0, 9, 2, 11, 3, 8, 5, 7, 9}
  104. {8, 5, 2, 10, 2, 6, 7, 7, 2, 6, 5, 9, 3, 7, 7, 7, 6, 2, 0, 10, 6, 4, 4, 7, 5}
  105. {5, 5, 1, 5, 5, 3, 4, 7, 4, 2, 7, 4, 1, 8, 5, 6, 5, 5, 9, 2, 9, 5, 7, 9, 4}
  106. {2, 3, 6, 6, 8, 2, 6, 4, 4, 4, 4, 1, 2, 4, 2, 7, 5, 9, 3, 8, 6, 4, 7, 4, 6}
  107. {8, 5, 3, 9, 7, 5, 4, 11, 6, 4, 4, 4, 4, 3, 5, 5, 6, 3, 4, 4, 6, 5, 6, 5, 7}
  108. {7, 11, 7, 5, 9, 4, 4, 6, 5, 8, 6, 4, 4, 8, 2, 7, 8, 6, 6, 2, 3, 7, 1, 4, 9}
  109. {3, 4, 8, 6, 6, 3, 4, 2, 4, 8, 5, 4, 7, 2, 7, 2, 4, 6, 3, 6, 8, 6, 6, 3, 10}
  110. {6, 7, 6, 4, 6, 5, 5, 4, 6, 6, 8, 8, 5, 5, 10, 5, 4, 5, 6, 5, 2, 4, 5, 6, 5}
  111. {7, 4, 6, 6, 4, 6, 3, 3, 1, 7, 6, 6, 4, 4, 3, 6, 8, 2, 2, 9, 7, 8, 6, 4, 6}
  112. {1, 6, 7, 4, 4, 7, 3, 6, 3, 3, 5, 7, 5, 4, 6, 6, 9, 4, 8, 3, 4, 5, 10, 1, 1}
  113. {4, 10, 5, 2, 8, 9, 8, 2, 2, 7, 6, 3, 4, 4, 6, 3, 7, 6, 12, 3, 5, 1, 7, 7, 5}
  114. {9, 8, 3, 8, 6, 2, 6, 8, 2, 3, 5, 6, 6, 4, 5, 7, 7, 4, 3, 1, 3, 2, 5, 6, 4}
  115. {10, 9, 5, 4, 5, 9, 7, 9, 5, 5, 2, 6, 1, 8, 6, 12, 1, 3, 5, 8, 5, 7, 9, 3, 6}
  116. {2, 2, 3, 6, 8, 6, 4, 6, 3, 3, 6, 3, 5, 2, 7, 7, 6, 4, 4, 8, 8, 3, 10, 5, 5}
  117. {5, 9, 5, 8, 9, 4, 5, 6, 6, 9, 7, 3, 7, 1, 5, 4, 4, 4, 7, 4, 11, 7, 6, 5, 7}
  118. {9, 5, 9, 7, 5, 4, 4, 10, 9, 2, 8, 6, 2, 8, 4, 5, 6, 7, 5, 4, 7, 7, 3, 2, 6}
  119. {8, 3, 8, 3, 8, 7, 5, 7, 8, 10, 5, 7, 3, 4, 4, 3, 1, 5, 5, 5, 9, 14, 8, 4, 4}
  120. {3, 6, 8, 6, 8, 5, 10, 5, 6, 4, 3, 10, 7, 6, 6, 7, 5, 6, 4, 5, 3, 3, 5, 6, 7}
  121. {6, 4, 7, 8, 3, 4, 6, 3, 4, 7, 5, 7, 3, 1, 10, 4, 6, 5, 1, 3, 5, 3, 5, 6, 6}
  122. {2, 3, 4, 5, 4, 6, 5, 4, 4, 3, 9, 8, 1, 1, 9, 6, 6, 5, 5, 6, 3, 11, 3, 1, 3}
  123. {5, 3, 4, 7, 2, 4, 5, 4, 7, 2, 7, 5, 1, 6, 3, 3, 5, 6, 6, 3, 3, 9, 4, 8, 4}
  124. {6, 4, 3, 4, 7, 7, 2, 3, 3, 4, 5, 4, 6, 9, 5, 3, 9, 1, 4, 5, 2, 4, 3, 7, 2}
  125.  
  126. 2.3 Сводная таблица моделей.
  127. эта: { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14}
  128. эн: { 5, 44, 93, 162, 217, 208, 189, 139, 91, 55, 33, 10, 2, 2}
  129. эта*эн: { 0, 44, 186, 486, 868, 1040, 1134, 973, 728, 495, 330, 110, 24, 28}
  130. nlтеор: {7.200128, 37.129621, 95.735015, 164.562108, 212.153470, 218.806603, 188.056982, 138.538892, 89.302170, 51.168159, 26.386396, 12.369942, 5.315777}
  131. [(nl - nlтеор)^2 /nlтеор]: {0.672289, 1.271279, 0.078136, 0.039890, 0.110716, 0.533726, 0.004729, 0.001535, 0.032279, 0.286956, 1.657663, 0.454054, 2.068254}
  132.  
  133. N = 1250 (формула (1.8)
  134.  
  135. 2.4 Проверка гипотезы о пуассоновости потока.
  136. хи^2 практическое = 7.211505 (формула 1.10)
  137. хи^2 критическое = 13.0905 (для нашего случая n=23, epsilon = 0.05)
  138.  
  139. хи^2 практическое < хи^2 критическое, соответственно гипотеза о пуассоновости потока подтверждена.
  140.  
  141. ===================
  142. 4. Сравнение потоков по данным из шага 3.
  143. 4.1 Сравнение lambda с циркумфлексом c родной lambda для каждого потока.
  144. Поток X(t)теор.: lambda с циркумфлексом = 1.2778, lambda родная = 1.2340. Расхождение на 0.0438.
  145. Поток X1(t): lambda с циркумфлексом = 0.5833, lambda родная = 0.5948. Расхождение на 0.0115.
  146. Поток X2(t): lambda с циркумфлексом = 0.6944, lambda родная = 0.6944. Расхождение на 0.0000.
  147. Поток X(t)практ.: lambda с циркумфлексом = 1.2778, lambda родная = 1.2892. Расхождение на 0.0114.
  148.  
  149. 4.2 Сравнение lambda с циркумфлексом для потоков X(t)теор. и X(t)практ.,
  150. а также lambda=lambda1+lambda2, полученной также на шаге 3.
  151. lambda потока X(t)теор. = 1.2340, lambda потока X(t)практ. = 1.2892. Расхождение на 0.0552.
  152. lambda=lambda1+lambda2: родная = 1.2778, с циркумфлексом = 1.2340. Расхождение на 0.0438.
  153.  
  154. 4.3 Сравнение мат.ожидания и дисперсии каждого из потоков.
  155. Поток X(t)теор.: мат. ожидание = 4.9360, дисперсия = 30.2400.
  156. Поток X1(t): мат. ожидание = 2.3792, дисперсия = 218.9712.
  157. Поток X2(t): мат. ожидание = 2.7776, дисперсия = 408.8192.
  158. Поток X(t)практ.: мат. ожидание = 5.1568, дисперсия = 9.6040.
  159.  
  160.  
  161. 5. Статистика Стьюдента для m=14 и n=23, уровня значимости 0.01, числу степеней свободы (m+n-2):
  162. t = 0.1371, tкр. = 2.4999.
  163.  
  164. |t| <= tкр., следовательно гипотеза об однородности принимается.
  165. Конец программы
  166. >>
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