Функция Лапласа
При разных значениях t; F(–t) = –F(t) (функция нормального распределения).
Таблица значений функции Лапласа
t
| F(t)
| t
| F(t)
| t
| F(t)
| t
| F(t)
| 0.00
| 0.00000
| 1.00
| 0.68269
| 2.00
| 0.95450
| 3.00
| 0.99730
| 0.01
| 0.00798
| 1.01
| 0.68750
| 2.01
| 0.95557
| 3.01
| 0.99739
| 0.02
| 0.01596
| 1.02
| 0.69227
| 2.02
| 0.95662
| 3.02
| 0.99747
| 0.03
| 0.02393
| 1.03
| 0.69699
| 2.03
| 0.95764
| 3.03
| 0.99755
| 0.04
| 0.03191
| 1.04
| 0.70166
| 2.04
| 0.95865
| 3.04
| 0.99763
| 0.05
| 0.03988
| 1.05
| 0.70628
| 2.05
| 0.95964
| 3.05
| 0.99771
| 0.06
| 0.04784
| 1.06
| 0.71086
| 2.06
| 0.96060
| 3.06
| 0.99779
| 0.07
| 0.05581
| 1.07
| 0.71538
| 2.07
| 0.96155
| 3.07
| 0.99786
| 0.08
| 0.06376
| 1.08
| 0.71986
| 2.08
| 0.96247
| 3.08
| 0.99793
| 0.09
| 0.07171
| 1.09
| 0.72429
| 2.09
| 0.96338
| 3.09
| 0.99800
| 0.10
| 0.07966
| 1.10
| 0.72867
| 2.10
| 0.96427
| 3.10
| 0.99806
| 0.11
| 0.08759
| 1.11
| 0.73300
| 2.11
| 0.96514
| 3.11
| 0.99813
| 0.12
| 0.09552
| 1.12
| 0.73729
| 2.12
| 0.96599
| 3.12
| 0.99819
| 0.13
| 0.10348
| 1.13
| 0.74152
| 2.13
| 0.96683
| 3.13
| 0.99825
| 0.14
| 0.11134
| 1.14
| 0.74571
| 2.14
| 0.96765
| 3.14
| 0.99831
| 0.15
| 0.11924
| 1.15
| 0.74986
| 2.15
| 0.96844
| 3.15
| 0.99837
| 0.16
| 0.12712
| 1.16
| 0.75395
| 2.16
| 0.96923
| 3.16
| 0.99842
| 0.17
| 0.13499
| 1.17
| 0.75800
| 2.17
| 0.96999
| 3.17
| 0.99848
| 0.18
| 0.14285
| 1.18
| 0.76200
| 2.18
| 0.97074
| 3.18
| 0.99853
| 0.19
| 0.15069
| 1.19
| 0.76595
| 2.19
| 0.97148
| 3.19
| 0.99858
| 0.20
| 0.15852
| 1.20
| 0.76986
| 2.20
| 0.97219
| 3.20
| 0.99863
| 0.21
| 0.16633
| 1.21
| 0.77372
| 2.21
| 0.97289
| 3.21
| 0.99867
| 0.22
| 0.17413
| 1.22
| 0.77754
| 2.22
| 0.97358
| 3.22
| 0.99872
| 0.23
| 0.18191
| 1.23
| 0.78130
| 2.23
| 0.97425
| 3.23
| 0.99876
| 0.24
| 0.18967
| 1.24
| 0.78502
| 2.24
| 0.97491
| 3.24
| 0.99880
| 0.25
| 0.19741
| 1.25
| 0.78870
| 2.25
| 0.97555
| 3.25
| 0.99855
| 0.26
| 0.20514
| 1.26
| 0.79233
| 2.26
| 0.97618
| 3.26
| 0.99889
| 0.27
| 0.21284
| 1.27
| 0.79592
| 2.27
| 0.97679
| 3.27
| 0.99892
| 0.28
| 0.22052
| 1.28
| 0.79945
| 2.28
| 0.97739
| 3.28
| 0.99896
| 0.29
| 0.22818
| 1.29
| 0.80295
| 2.29
| 0.97798
| 3.29
| 0.99900
| 0.30
| 0.23582
| 1.30
| 0.80640
| 2.30
| 0.97855
| 3.30
| 0.99903
| 0.31
| 0.24344
| 1.31
| 0.80980
| 2.31
| 0.97911
| 3.31
| 0.99907
| 0.32
| 0.25103
| 1.32
| 0.81316
| 2.32
| 0.97966
| 3.32
| 0.99910
| 0.33
| 0.25860
| 1.33
| 0.81648
| 2.33
| 0.98019
| 3.33
| 0.99913
| 0.34
| 0.26614
| 1.34
| 0.81975
| 2.34
| 0.98072
| 3.34
| 0.99916
| 0.35
| 0.27366
| 1.35
| 0.82298
| 2.35
| 0.98123
| 3.35
| 0.99919
| 0.36
| 0.28115
| 1.36
| 0.82617
| 2.36
| 0.98172
| 3.36
| 0.99922
| 0.37
| 0.28862
| 1.37
| 0.82931
| 2.37
| 0.98221
| 3.37
| 0.99925
| 0.38
| 0.29605
| 1.38
| 0.83241
| 2.38
| 0.98269
| 3.38
| 0.99928
|
Продолжение приложения В
0.39
| 0.30346
| 1.39
| 0.83547
| 2.39
| 0.98315
| 3.39
| 0.99930
| 0.40
| 0.31084
| 1.40
| 0.83849
| 2.40
| 0.98360
| 3.40
| 0.99933
| 0.41
| 0.31819
| 1.41
| 0.84146
| 2.41
| 0.98405
| 3.41
| 0.99935
| 0.42
| 0.32552
| 1.42
| 0.84439
| 2.42
| 0.98448
| 3.42
| 0.99937
| 0.43
| 0.33280
| 1.43
| 0.84728
| 2.43
| 0.98490
| 3.43
| 0.99940
| 0.44
| 0.34006
| 1.44
| 0.85013
| 2.44
| 0.98531
| 3.44
| 0.99942
| 0.45
| 0.34729
| 1.45
| 0.85294
| 2.45
| 0.98571
| 3.45
| 0.99944
| 0.46
| 0.35448
| 1.46
| 0.85571
| 2.46
| 0.98611
| 3.46
| 0.99946
| 0.47
| 0.36164
| 1.47
| 0.85844
| 2.47
| 0.98649
| 3.47
| 0.99948
| 0.48
| 0.36877
| 1.48
| 0.86113
| 2.48
| 0.98686
| 3.48
| 0.99950
| 0.49
| 0.37587
| 1.49
| 0.86378
| 2.49
| 0.98723
| 3.49
| 0.99952
| 0.50
| 0.38292
| 1.50
| 0.86639
| 2.50
| 0.98758
| 3.50
| 0.99953
| 0.51
| 0.38995
| 1.51
| 0.86696
| 2.51
| 0.98793
| 3.51
| 0.99955
| 0.52
| 0.39694
| 1.52
| 0.87149
| 2.52
| 0.98826
| 3.52
| 0.99957
| 0.53
| 0.40389
| 1.53
| 0.87398
| 2.53
| 0.98859
| 3.53
| 0.99958
| 0.54
| 0.41080
| 1.54
| 0.87644
| 2.54
| 0.98891
| 3.54
| 0.99960
| 0.55
| 0.41768
| 1.55
| 0.87886
| 2.55
| 0.98923
| 3.55
| 0.99961
| 0.56
| 0.42452
| 1.56
| 0.88124
| 2.56
| 0.98953
| 3.56
| 0.99963
| 0.57
| 0.43132
| 1.57
| 0.88358
| 2.57
| 0.98983
| 3.57
| 0.99964
| 0.58
| 0.43809
| 1.58
| 0.88589
| 2.58
| 0.99012
| 3.58
| 0.99966
| 0.59
| 0.44481
| 1.59
| 0.88817
| 2.59
| 0.99040
| 3.59
| 0.99967
| 0.60
| 0.45149
| 1.60
| 0.89040
| 2.60
| 0.99068
| 3.60
| 0.99968
| 0.61
| 0.45814
| 1.61
| 0.89260
| 2.61
| 0.99095
| 3.61
| 0.99969
| 0.62
| 0.46474
| 1.62
| 0.89477
| 2.62
| 0.99121
| 3.62
| 0.99971
| 0.63
| 0.47131
| 1.63
| 0.89690
| 2.63
| 0.99146
| 3.63
| 0.99972
| 0.64
| 0.47783
| 1.64
| 0.89899
| 2.64
| 0.99171
| 3.64
| 0.99973
| 0.65
| 0.48431
| 1.65
| 0.90106
| 2.65
| 0.99195
| 3.65
| 0.99974
| 0.66
| 0.49075
| 1.66
| 0.90309
| 2.66
| 0.99219
| 3.66
| 0.99975
| 0.67
| 0.49714
| 1.67
| 0.90508
| 2.67
| 0.99241
| 3.67
| 0.99976
| 0.68
| 0.50350
| 1.68
| 0.90704
| 2.68
| 0.99263
| 3.68
| 0.99977
| 0.69
| 0.50981
| 1.69
| 0.90897
| 2.69
| 0.99285
| 3.69
| 0.99978
| 0.70
| 0.51607
| 1.70
| 0.91087
| 2.70
| 0.99307
| 3.70
| 0.99978
| 0.71
| 0.52230
| 1.71
| 0.91273
| 2.71
| 0.99327
| 3.71
| 0.99979
| 0.72
| 0.52848
| 1.72
| 0.91457
| 2.72
| 0.99347
| 3.72
| 0.99980
| 0.73
| 0.53461
| 1.73
| 0.91637
| 2.73
| 0.99367
| 3.73
| 0.99981
| 0.74
| 0.54070
| 1.74
| 0.91814
| 2.74
| 0.99386
| 3.74
| 0.99982
| 0.75
| 0.54675
| 1.75
| 0.91988
| 2.75
| 0.99404
| 3.75
| 0.99982
| 0.76
| 0.55275
| 1.76
| 0.92159
| 2.76
| 0.99422
| 3.76
| 0.99983
| 0.77
| 0.55870
| 1.77
| 0.92327
| 2.77
| 0.99439
| 3.77
| 0.99984
| 0.78
| 0.56461
| 1.78
| 0.92492
| 2.78
| 0.99456
| 3.78
| 0.99984
| 0.79
| 0.57047
| 1.79
| 0.92655
| 2.79
| 0.99473
| 3.79
| 0.99985
| 0.80
| 0.57629
| 1.80
| 0.92814
| 2.80
| 0.99489
| 3.80
| 0.99986
| 0.81
| 0.58206
| 1.81
| 0.92970
| 2.81
| 0.99505
| 3.81
| 0.99986
| 0.82
| 0.58778
| 1.82
| 0.93124
| 2.82
| 0.99520
| 3.82
| 0.99987
| 0.83
| 0.59346
| 1.83
| 0.93275
| 2.83
| 0.99535
| 3.83
| 0.99987
| 0.84
| 0.59909
| 1.84
| 0.93423
| 2.84
| 0.99549
| 3.84
| 0.99988
| 0.85
| 0.60468
| 1.85
| 0.93569
| 2.85
| 0.99563
| 3.85
| 0.99988
| 0.86
| 0.61021
| 1.86
| 0.93711
| 2.86
| 0.99576
| 3.86
| 0.99989
| 0.87
| 0.61570
| 1.87
| 0.93852
| 2.87
| 0.99590
| 3.87
| 0.99989
| Окончание приложения В
0.88
| 0.62114
| 1.88
| 0.93989
| 2.88
| 0.99602
| 3.88
| 0.99990
| 0.89
| 0.62653
| 1.89
| 0.94124
| 2.89
| 0.99615
| 3.89
| 0.99990
| 0.90
| 0.63188
| 1.90
| 0.94257
| 2.90
| 0.99627
| 3.90
| 0.99990
| 0.91
| 0.63718
| 1.91
| 0.94387
| 2.91
| 0.99639
| 3.91
| 0.99991
| 0.92
| 0.64243
| 1.92
| 0.94514
| 2.92
| 0.99650
| 3.92
| 0.99991
| 0.93
| 0.64763
| 1.93
| 0.94639
| 2.93
| 0.99661
| 3.93
| 0.99992
| 0.94
| 0.65278
| 1.94
| 0.94762
| 2.94
| 0.99672
| 3.94
| 0.99992
| 0.95
| 0.65789
| 1.95
| 0.94882
| 2.95
| 0.99682
| 3.95
| 0.99992
| 0.96
| 0.66294
| 1.96
| 0.95000
| 2.96
| 0.99692
| 3.96
| 0.99992
| 0.97
| 0.66795
| 1.97
| 0.95116
| 2.97
| 0.99702
| 3.97
| 0.99993
| 0.98
| 0.67291
| 1.98
| 0.95230
| 2.98
| 0.99712
| 3.98
| 0.99993
| 0.99
| 0.67783
| 1.99
| 0.95341
| 2.99
| 0.99721
| 3.99
| 0.99993
|
Приложение Д
Критические значения коэффициента Стьюдента (t-критерия) для различной доверительной вероятности p и числа степеней свободы k:
k
| p
| 0.80
| 0.90
| 0.95
| 0.98
| 0.99
| 0.995
| 0.998
| 0.999
|
| 3.0770
| 6.3130
| 12.7060
| 31.820
| 63.656
| 127.656
| 318.306
| 636.619
|
| 1.8850
| 2.9200
| 4.3020
| 6.964
| 9.924
| 14.089
| 22.327
| 31.599
|
| 1.6377
| 2.35340
| 3.182
| 4.540
| 5.840
| 7.458
| 10.214
| 12.924
|
| 1.5332
| 2.13180
| 2.776
| 3.746
| 4.604
| 5.597
| 7.173
| 8.610
|
| 1.4759
| 2.01500
| 2.570
| 3.649
| 4.0321
| 4.773
| 5.893
| 6.863
|
| 1.4390
| 1.943
| 2.4460
| 3.1420
| 3.7070
| 4.316
| 5.2070
| 5.958
|
| 1.4149
| 1.8946
| 2.3646
| 2.998
| 3.4995
| 4.2293
| 4.785
| 5.4079
|
| 1.3968
| 1.8596
| 2.3060
| 2.8965
| 3.3554
| 3.832
| 4.5008
| 5.0413
|
| 1.3830
| 1.8331
| 2.2622
| 2.8214
| 3.2498
| 3.6897
| 4.2968
| 4.780
|
| 1.3720
| 1.8125
| 2.2281
| 2.7638
| 3.1693
| 3.5814
| 4.1437
| 4.5869
|
| 1.363
| 1.795
| 2.201
| 2.718
| 3.105
| 3.496
| 4.024
| 4.437
|
| 1.3562
| 1.7823
| 2.1788
| 2.6810
| 3.0845
| 3.4284
| 3.929
| 4.178
|
| 1.3502
| 1.7709
| 2.1604
| 2.6503
| 3.1123
| 3.3725
| 3.852
| 4.220
|
| 1.3450
| 1.7613
| 2.1448
| 2.6245
| 2.976
| 3.3257
| 3.787
| 4.140
|
| 1.3406
| 1.7530
| 2.1314
| 2.6025
| 2.9467
| 3.2860
| 3.732
| 4.072
|
| 1.3360
| 1.7450
| 2.1190
| 2.5830
| 2.9200
| 3.2520
| 3.6860
| 4.0150
|
| 1.3334
| 1.7396
| 2.1098
| 2.5668
| 2.8982
| 3.2224
| 3.6458
| 3.965
|
| 1.3304
| 1.7341
| 2.1009
| 2.5514
| 2.8784
| 3.1966
| 3.6105
| 3.9216
|
| 1.3277
| 1.7291
| 2.0930
| 2.5395
| 2.8609
| 3.1737
| 3.5794
| 3.8834
|
| 1.3253
| 1.7247
| 2.08600
| 2.5280
| 2.8453
| 3.1534
| 3.5518
| 3.8495
|
| 1.3230
| 1.7200
| 2.2.0790
| 2.5170
| 2.8310
| 3.1350
| 3.5270
| 3.8190
|
| 1.3212
| 1.7117
| 2.0739
| 2.5083
| 2.8188
| 3.1188
| 3.5050
| 3.7921
|
| 1.3195
| 1.7139
| 2.0687
| 2.4999
| 2.8073
| 3.1040
| 3.4850
| 3.7676
|
| 1.3178
| 1.7109
| 2.0639
| 2.4922
| 2.7969
| 3.0905
| 3.4668
| 3.7454
|
| 1.3163
| 1.7081
| 2.0595
| 2.4851
| 2.7874
| 3.0782
| 3.4502
| 3.7251
|
| 1.315
| 1.705
| 2.059
| 2.478
| 2.778
| 3.0660
| 3.4360
| 3.7060
|
| 1.3137
| 1.7033
| 2.0518
| 2.4727
| 2.7707
| 3.0565
| 3.4210
| 3.6896
|
| 1.3125
| 1.7011
| 2.0484
| 2.4671
| 2.7633
| 3.0469
| 3.4082
| 3.6739
|
| 1.3114
| 1.6991
| 2.0452
| 2.4620
| 2.7564
| 3.0360
| 3.3962
| 3.8494
|
| 1.3104
| 1.6973
| 2.0423
| 2.4573
| 2.7500
| 3.0298
| 3.3852
| 3.6460
|
| 1.3080
| 1.6930
| 2.0360
| 2.4480
| 2.7380
| 3.0140
| 3.3650
| 3.6210
|
| 1.3070
| 1.6909
| 2.0322
| 2.4411
| 2.7284
| 3.9520
| 3.3479
| 3.6007
|
| 1.3050
| 1.6883
| 2.0281
| 2.4345
| 2.7195
| 9.490
| 3.3326
| 3.5821
|
| 1.3042
| 1.6860
| 2.0244
| 2.4286
| 2.7116
| 3.9808
| 3.3190
| 3.5657
|
| 1.303
| 1.6839
| 2.0211
| 2.4233
| 2.7045
| 3.9712
| 3.3069
| 3.5510
|
| 1.320
| 1.682
| 2.018
| 2.418
| 2.6980
| 2.6930
| 3.2960
| 3.5370
|
| 1.301
| 1.6802
| 2.0154
| 2.4141
| 2.6923
| 3.9555
| 3.2861
| 3.5258
|
| 1.300
| 1.6767
| 2.0129
| 2.4102
| 2.6870
| 3.9488
| 3.2771
| 3.5150
|
| 1.299
| 1.6772
| 2.0106
| 2.4056
| 2.6822
| 3.9426
| 3.2689
| 3.5051
|
| 1.298
| 1.6759
| 2.0086
| 2.4033
| 2.6778
| 3.9370
| 3.2614
| 3.4060
|
| 1.2997
| 1.673
| 2.0040
| 2.3960
| 2.6680
| 2.9240
| 3.2560
| 3.4760
|
| 1.2958
| 1.6706
| 2.0003
| 2.3901
| 2.6603
| 3.9146
| 3.2317
| 3.4602
|
| 1.2947
| 1.6686
| 1.997
| 2.3851
| 2.6536
| 3.9060
| 3.2204
| 3.4466
|
Окончание приложения Д
| 1.2938
| 1.6689
| 1.9944
| 2.3808
| 2.6479
| 3.8987
| 3.2108
| 3.4350
|
| 1.2820
| 1.6640
| 1.9900
| 2.3730
| 2.6380
| 2.8870
| 3.1950
| 3.4160
|
| 1.2910
| 1.6620
| 1.9867
| 2.3885
| 2.6316
| 2.8779
| 3.1833
| 3.4019
|
| 1.2901
| 1.6602
| 1.9840
| 2.3642
| 2.6259
| 2.8707
| 3.1737
| 3.3905
|
| 1.2888
| 1.6577
| 1.9719
| 2.3578
| 2.6174
| 2.8598
| 3.1595
| 3.3735
|
| 1.2872
| 1.6551
| 1.9759
| 2.3515
| 2.6090
| 2.8482
| 3.1455
| 3.3566
|
| 1.2858
| 1.6525
| 1.9719
| 2.3451
| 2.6006
| 2.8385
| 3.1315
| 3.3398
|
| 1.2849
| 1.6510
| 1.9695
| 2.3414
| 2.5966
| 2.8222
| 3.1232
| 3.3299
|
| 1.2844
| 1.6499
| 1.9679
| 2.3388
| 2.5923
| 2.8279
| 3.1176
| 3.3233
|
| 1.2837
| 1.6487
| 1.9659
| 2.3357
| 2.5882
| 2.8227
| 3.1107
| 3.3150
|
| 1.2830
| 1.6470
| 1.9640
| 2.3330
| 2.7850
| 2.8190
| 3.1060
| 3.3100
|
Список литературы
1. Альбеков А.У. Митько О.А. Коммерческая логистика. Ростов н/Д: Феникс, 2002.
2. Бауэрсокс Д. Дж., Клосс Д. Дж. Логистика: Интегрированная цепь поставок. М.: Олимп-Бизнес, 2008.
3. Габжинсеий А.М. Логистика: Учебник. 5-е изд., перераб. и доп. М.: Маркетинг, 2002.
4. Габжинсеий А.М. Практикум по логистике. М.: «Дашков и К», 2008.
5. Канке А. А., Кошевая И. П. Логистика: Учебник. 2-е изд., испр. и доп. М.: «Форум» - ИНФРА-М, 2008.
6. Кузьбожев Э. Н., Тиньков С. А. Логистика: Учебное пособие. – М.: КНОРУС, 2004.
7. Логистика: учеб.пособие для студентов вузов / М. Н. Григорьев, А. П. Долгов, С. А. Уваров. – М.: Гардарики, 2006.
8. Логистика: учеб. Пособие / Б. А. Аникин [и др.]; под. ред. Б. А. Аникина, Т. А. Родкиной. – М.: Проспект, 2005.
9. Логистика: тренинг и практикум: учеб. пособие / Б. А. Аникин, В. М. Вайн, В. В. Водянова [и др.]; под. ред. Б. А. Аникина, Т. А. Родкиной. – М.: Проспект, 2007.
10. Неруш Ю. М. Логистика: Учебник. М.: ЮНИТИ – ДАНА, 2000.
11. Неруш Ю. М., Неруш А. Ю. Практикум по логистике: учеб.пособие. – М.: Проспект, 2008.
12. Сергеев В. И. Логистика в бизнесе: Учебник. – М.: ИНФРА-М, 2001.
13. Сергеев В. И. Логистика: Учебное пособие. – СПб.: СПбГИЭА, 1995.
14. Степанов В. И. Логистика: Учебник. М.: Проспект, 2006.
15. Стерлигова А. Н. Управление запасами в цепях поставок: Учебник. – М.: ИНФРА-М, 2008.
16. Чудаков А. Д. Логистика: Учебно-практическое пособие. – М.: «Альфа-Пресс», 2008.
17. Ballou R. H. Business Logistics Management.Third Edition. – Prentice-Hall International, Inc., 1993.
18. Krampe H., Lucke H. I. Einfuhrung in die Logistik. – Hussverlag, Munchen, 1990. 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 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 | 73 | 74 | 75 | 76 | 77 | 78 | 79 | Поиск по сайту:
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