ejemplo 1.10 resuelto

15
Obs. 1 0.01 TELL Frecuencia i Fn(X(i)) 2 0.01 2.51 0.01 8 8 3.42% 3 0.01 0.02 2 10 4.34% 4 0.01 0.03 3 13 5.71% 5 0.01 0.04 6 19 8.45% 6 0.01 0.05 10 29 13.01% 7 0.01 0.06 4 33 14.84% 8 0.01 0.07 10 43 19.41% 9 0.02 0.08 4 47 21.23% 10 0.02 0.09 2 49 22.15% 11 0.03 0.10 9 58 26.26% 12 0.03 0.11 5 63 28.54% 13 0.03 0.12 4 67 30.37% 14 0.04 0.13 2 69 31.28% 15 0.04 0.14 4 73 33.11% 16 0.04 0.15 6 79 35.84% 17 0.04 0.17 1 80 36.30% 18 0.04 0.18 1 81 36.76% 19 0.04 0.19 3 84 38.13% 20 0.05 0.20 1 85 38.58% 21 0.05 0.21 5 90 40.87% 22 0.05 0.22 3 93 42.24% 23 0.05 0.23 5 98 44.52% 24 0.05 0.24 1 99 44.98% 25 0.05 0.25 5 104 47.26% 26 0.05 0.26 5 109 49.54% 27 0.05 0.27 1 110 50.00% 28 0.05 0.28 2 112 50.91% 29 0.05 0.29 2 114 51.83% 30 0.06 0.30 1 115 52.28% 31 0.06 0.31 2 117 53.20% 32 0.06 0.32 1 118 53.65% 33 0.06 0.35 3 121 55.02% 34 0.07 0.36 3 124 56.39% 35 0.07 0.37 2 126 57.31% 36 0.07 0.38 5 131 59.59% 37 0.07 0.39 1 132 60.05% 38 0.07 0.40 2 134 60.96% 39 0.07 0.41 2 136 61.87% 40 0.07 0.43 3 139 63.24% 41 0.07 0.44 1 140 63.70% 42 0.07 0.45 2 142 64.61% 43 0.07 0.46 1 143 65.07% 44 0.08 0.47 3 146 66.44% 45 0.08 0.48 1 147 66.89% 46 0.08 0.49 4 151 68.72% 47 0.08 0.50 3 154 70.09% Tiempos entre llegadas MLE de l =

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Page 1: Ejemplo 1.10 Resuelto

Obs.1 0.01 TELL Frecuencia i Fn(X(i)) F^(X(i))2 0.01 2.51 0.01 8 8 3.42% 2.48%3 0.01 0.02 2 10 4.34% 4.89%4 0.01 0.03 3 13 5.71% 7.25%5 0.01 0.04 6 19 8.45% 9.54%6 0.01 0.05 10 29 13.01% 11.78%7 0.01 0.06 4 33 14.84% 13.97%8 0.01 0.07 10 43 19.41% 16.10%9 0.02 0.08 4 47 21.23% 18.18%

10 0.02 0.09 2 49 22.15% 20.20%11 0.03 0.10 9 58 26.26% 22.18%12 0.03 0.11 5 63 28.54% 24.10%13 0.03 0.12 4 67 30.37% 25.98%14 0.04 0.13 2 69 31.28% 27.82%15 0.04 0.14 4 73 33.11% 29.60%16 0.04 0.15 6 79 35.84% 31.35%17 0.04 0.17 1 80 36.30% 34.71%18 0.04 0.18 1 81 36.76% 36.32%19 0.04 0.19 3 84 38.13% 37.90%20 0.05 0.20 1 85 38.58% 39.44%21 0.05 0.21 5 90 40.87% 40.94%22 0.05 0.22 3 93 42.24% 42.40%23 0.05 0.23 5 98 44.52% 43.83%24 0.05 0.24 1 99 44.98% 45.22%25 0.05 0.25 5 104 47.26% 46.57%26 0.05 0.26 5 109 49.54% 47.90%27 0.05 0.27 1 110 50.00% 49.19%28 0.05 0.28 2 112 50.91% 50.44%29 0.05 0.29 2 114 51.83% 51.67%30 0.06 0.30 1 115 52.28% 52.87%31 0.06 0.31 2 117 53.20% 54.04%32 0.06 0.32 1 118 53.65% 55.17%33 0.06 0.35 3 121 55.02% 58.42%34 0.07 0.36 3 124 56.39% 59.45%35 0.07 0.37 2 126 57.31% 60.46%36 0.07 0.38 5 131 59.59% 61.44%37 0.07 0.39 1 132 60.05% 62.39%38 0.07 0.40 2 134 60.96% 63.32%39 0.07 0.41 2 136 61.87% 64.23%40 0.07 0.43 3 139 63.24% 65.98%41 0.07 0.44 1 140 63.70% 66.82%42 0.07 0.45 2 142 64.61% 67.64%43 0.07 0.46 1 143 65.07% 68.44%44 0.08 0.47 3 146 66.44% 69.23%45 0.08 0.48 1 147 66.89% 69.99%46 0.08 0.49 4 151 68.72% 70.73%47 0.08 0.50 3 154 70.09% 71.46%48 0.09 0.51 3 157 71.46% 72.16%49 0.09 0.52 2 159 72.37% 72.85%50 0.10 0.53 3 162 73.74% 73.52%51 0.10 0.54 2 164 74.66% 74.18%

Tiemposentre

llegadasMLE de l =

A1
Carlos Monardes: Ordenadas de menor a mayor
Page 2: Ejemplo 1.10 Resuelto

52 0.10 0.55 2 166 75.57% 74.82%53 0.10 0.56 1 167 76.03% 75.44%54 0.10 0.57 2 169 76.94% 76.05%55 0.10 0.60 1 170 77.40% 77.79%56 0.10 0.61 2 172 78.31% 78.34%57 0.10 0.63 2 174 79.22% 79.40%58 0.10 0.64 1 175 79.68% 79.91%59 0.11 0.65 3 178 81.05% 80.40%60 0.11 0.69 2 180 81.96% 82.27%61 0.11 0.70 1 181 82.42% 82.71%62 0.11 0.72 3 184 83.79% 83.56%63 0.11 0.74 1 185 84.25% 84.36%64 0.12 0.75 1 186 84.70% 84.75%65 0.12 0.76 1 187 85.16% 85.13%66 0.12 0.77 1 188 85.62% 85.50%67 0.12 0.79 1 189 86.07% 86.21%68 0.13 0.84 1 190 86.53% 87.83%69 0.13 0.86 1 191 86.99% 88.43%70 0.14 0.87 1 192 87.44% 88.71%71 0.14 0.88 2 194 88.36% 88.99%72 0.14 0.90 1 195 88.81% 89.53%73 0.14 0.93 2 197 89.73% 90.29%74 0.15 0.95 1 198 90.18% 90.76%75 0.15 0.97 1 199 90.64% 91.22%76 0.15 1.03 1 200 91.10% 92.44%77 0.15 1.05 2 202 92.01% 92.81%78 0.15 1.06 1 203 92.47% 92.99%79 0.15 1.09 1 204 92.92% 93.50%80 0.17 1.10 1 205 93.38% 93.66%81 0.18 1.11 1 206 93.84% 93.82%82 0.19 1.12 1 207 94.29% 93.97%83 0.19 1.17 1 208 94.75% 94.68%84 0.19 1.18 1 209 95.21% 94.81%85 0.20 1.24 2 211 96.12% 95.54%86 0.21 1.28 1 212 96.58% 95.96%87 0.21 1.33 1 213 97.03% 96.44%88 0.21 1.38 1 214 97.49% 96.86%89 0.21 1.44 1 215 97.95% 97.30%90 0.21 1.51 1 216 98.40% 97.73%91 0.22 1.72 1 217 98.86% 98.66%92 0.22 1.83 1 218 99.32% 98.98%93 0.22 1.96 1 219 99.77% 99.27%94 0.2395 0.2396 0.2397 0.2398 0.2399 0.24

100 0.25101 0.25102 0.25103 0.25104 0.25105 0.26

Page 3: Ejemplo 1.10 Resuelto

106 0.26107 0.26108 0.26109 0.26110 0.27111 0.28112 0.28113 0.29114 0.29115 0.30116 0.31117 0.31118 0.32119 0.35120 0.35121 0.35122 0.36123 0.36124 0.36125 0.37126 0.37127 0.38128 0.38129 0.38130 0.38131 0.38132 0.39133 0.40134 0.40135 0.41136 0.41137 0.43138 0.43139 0.43140 0.44141 0.45142 0.45143 0.46144 0.47145 0.47146 0.47147 0.48148 0.49149 0.49150 0.49151 0.49152 0.50153 0.50154 0.50155 0.51156 0.51157 0.51158 0.52159 0.52

Page 4: Ejemplo 1.10 Resuelto

160 0.53161 0.53162 0.53163 0.54164 0.54165 0.55166 0.55167 0.56168 0.57169 0.57170 0.60171 0.61172 0.61173 0.63174 0.63175 0.64176 0.65177 0.65178 0.65179 0.69180 0.69181 0.70182 0.72183 0.72184 0.72185 0.74186 0.75187 0.76188 0.77189 0.79190 0.84191 0.86192 0.87193 0.88194 0.88195 0.90196 0.93197 0.93198 0.95199 0.97200 1.03201 1.05202 1.05203 1.06204 1.09205 1.10206 1.11207 1.12208 1.17209 1.18210 1.24211 1.24212 1.28213 1.33

Page 5: Ejemplo 1.10 Resuelto

214 1.38215 1.44216 1.51217 1.72218 1.83219 1.96

Page 6: Ejemplo 1.10 Resuelto

Per. Teo.0.010.020.020.040.060.060.090.100.100.120.130.140.150.160.180.180.180.190.190.210.220.230.240.260.270.280.280.290.300.300.310.320.330.340.360.370.380.380.400.400.410.420.440.440.460.480.500.510.530.55

Page 7: Ejemplo 1.10 Resuelto

0.560.570.590.590.610.630.640.660.680.690.730.740.750.760.770.790.800.810.830.860.870.910.930.940.961.011.031.061.081.111.141.181.211.301.351.401.471.551.651.781.992.43

Page 8: Ejemplo 1.10 Resuelto

0.00% 20.00% 40.00% 60.00% 80.00% 100.00% 120.00%0.00%

20.00%

40.00%

60.00%

80.00%

100.00%

120.00%

P-P Plot

Column HLinear (Column H)F (̂X(i))

Page 9: Ejemplo 1.10 Resuelto

0.00 0.50 1.00 1.50 2.00 2.50 3.000.00

0.50

1.00

1.50

2.00

2.50

3.00

Q- Q Plot

Column ILinear (Column I)Per. Teo.

Page 10: Ejemplo 1.10 Resuelto

Demanda 0 1 2 3 4 5 6 7 8 9Frecuencia 59 26 24 18 12 5 4 3 0 3

Obs. Dda. Dda. Frec. i Fn(x) F^(x)1 0 0 59 59 0.375 0.3462 0 1 26 85 0.542 0.5723 0 2 24 109 0.696 0.7204 0 3 18 127 0.811 0.8175 0 4 12 139 0.888 0.8806 0 5 5 144 0.920 0.9227 0 6 4 148 0.946 0.9498 0 7 3 151 0.965 0.9669 0 9 3 154 0.984 0.974

10 0 11 2 156 0.997 0.97711 012 013 0 MLE de p = 0.345914 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 0

A5
Carlos Monardes: Ordenadas de menor a mayor
B5
Carlos Monardes: demanda semanal
Page 11: Ejemplo 1.10 Resuelto

50 051 052 053 054 055 056 057 058 059 060 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 287 288 289 290 291 292 293 294 295 296 297 298 299 2

100 2101 2102 2103 2

Page 12: Ejemplo 1.10 Resuelto

104 2105 2106 2107 2108 2109 2110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 4129 4130 4131 4132 4133 4134 4135 4136 4137 4138 4139 4140 5141 5142 5143 5144 5145 6146 6147 6148 6149 7150 7151 7152 9153 9154 9155 11156 11

Page 13: Ejemplo 1.10 Resuelto

10 110 2

Page 14: Ejemplo 1.10 Resuelto

0.300 0.400 0.500 0.600 0.700 0.800 0.900 1.0000.300

0.400

0.500

0.600

0.700

0.800

0.900

1.000

P-P Plot

Column HLinear (Column H)F (̂x)