Wind Data
The yearly maximum wind speed, in miles per hour, registered at a given
location during 50 years is included below. We assume here that this data
will be used to determine a design wind speed for structural building purposes.
Important facts to be taken into account for these data are its non-negative
character and, perhaps, the existence of a non-clearly defined upper bound
(the maximum conceivable wind speed is bounded).
22.64 22.8 23.75 24.01 24.04
24.24 24.74 25.45 25.55 25.66
25.99 26.63 26.69 26.88 26.89
27.12 27.43 27.69 27.71 28.12
28.58 28.88 29.12 29.45 29.48
30.18 31.31 31.55 31.57 32.54
32.98 33.83 33.86 34.64 35.21
36.82 37.23 38.09 38.26 38.82
38.96 38.9 42.99 43.66 44.61
45.24 47.91 54.75 69.4 98.16
Flood Data
The yearly maximum flow discharge, in cubic meters per second, measured at a
given location of a river during 60 years is shown below. The aim of the
data analysis is supposed to be the design of a flood protection device at that
location. Similar characteristics as those for the wind data appear here: a lower
bound clearly defined (zero) and possibly an obscure upper bound.
24.21 26.46 29.48 30.32 31.60
32.88 33.03 33.63 35.14 35.23
35.59 35.89 35.95 36.07 36.49
36.50 37.13 37.48 38.01 38.21
38.53 38.91 39.26 39.45 40.32
40.36 40.49 40.69 41.03 41.05
41.54 42.62 42.82 42.91 43.05
43.31 43.34 43.42 43.65 43.87
44.71 45.04 45.58 46.00 48.29
48.76 49.28 49.43 50.17 50.45
50.73 51.90 52.54 52.94 54.01
57.84 60.10 61.95 67.76 75.70
Wave Data
The yearly maximum wave heights, in feet, observed at a given location in
50 years are shown below. The data, coming from shallow water,
will be used for designing a breakwater. The wave height is, by definition, a
non-negative random variable, which is bounded from above. In addition, we
know that for shallow water an upper bound can be given, but for open sea
water this bound becomes unclear.
2.91 3.74 4.09 5.88 6.42
6.93 7.21 7.92 8.26 8.79
9.17 9.50 9.62 10.00 10.14
10.28 10.45 10.77 11.65 11.65
11.82 12.27 12.68 13.28 13.46
13.88 13.98 14.32 14.38 14.46
14.86 15.03 15.30 16.07 16.23
17.36 18.68 18.72 19.44 20.09
21.06 21.13 21.53 21.80 23.15
24.75 25.45 28.13 29.95 37.19
Telephone Data
The times, in seconds, between 40 consecutive phone calls to a computerized
center are shown below. The aim of the analysis is to determine the
computer's ability to handle very close, consecutive calls because of a limited
response time. A clear lower bound (zero) can be established from physical
considerations.
0.000060 0.000074 0.000112 0.000200 0.000221
0.000236 0.000285 0.000298 0.000337 0.000374
0.000389 0.000416 0.000487 0.000559 0.000632
0.000645 0.000813 0.000960 0.001100 0.001130
0.001170 0.001280 0.001300 0.001350 0.001420
0.001560 0.001590 0.001720 0.002210 0.002380
0.002480 0.002640 0.003390 0.003480 0.005260
Epicenter Data
The distances, in miles, to a nuclear power plant of the most recent 8
earthquakes of intensity larger than a given value are listed below. The
data is needed in order to evaluate the risks associated with earthquakes
occurring close to the central site. In addition, it is known that a fault is the
main cause of earthquakes in the area, and the closest point of the fault is
50 miles.
58.2 58.2 59.5 61.8 65.8
67.8 68.5 70.9 73.7 77.0
80.8 83.7 84.3 89.0 97.6
98.3 99.6 101.4 105.1 105.8
106.7 119.1 119.5 119.9 121.9
125.7 128.4 146.1 153.9 154.6
155.8 157.4 157.7 163.7 172.7
173.9 174.2 175.1 176.0 178.7
179.1 179.5 180.7 182.1 182.7
186.7 187.5 191.0 192.6 193.0
199.4 211.6 212.1 216.8 222.9
227.3 229.4 234.5 236.8 238.9
Link Data
20 chain links have been tested for strength and the results are given below.
The data is used for quality control and minimum strength characteristics
are needed.
51.1 57.1 65.1 69.2 71.2
73.1 76.1 81.9 84.1 86.6
88.1 92.6 94.9 96.6 97.0
101.4 103.4 103.8 105.2 119.1
Electrical Insulation Data
The lifetimes of 30 electrical insulation elements are shown below.
Quality control and minimum lifetime are of interest.
744 822 847 885 920
948 968 985 1010 1018
1019 1028 1029 1031 1040
1047 1071 1074 1097 1134
1147 1170 1174 1209 1251
1273 1320 1383 1388 1462
Fatigue Data
40 specimens of wire were tested for fatigue strength to failure and the results
are shown below. The aim of the study is to find a design fatigue stress.
39611 44132 44209 45898 50139
54625 58970 64703 64950 66508
70208 72098 75001 80393 81868
82202 82447 89268 90021 96136
96723 101610 101833 106055 112833
119154 122366 134511 135220 136395
138378 153790 184916 216370 240316
Precipitation Data
The yearly total precipitation in Philadelphia for the last 40 years, measured in
inches, is shown below. The aim of the study is related to drought risk
determination.
29.34 29.88 32.20 33.03 33.27
34.04 34.95 35.15 35.45 36.77
37.78 38.35 38.37 39.14 39.52
40.00 40.47 40.48 41.05 41.15
41.75 42.62 43.05 43.36 44.46
44.82 44.85 45.40 45.84 45.95
46.00 46.06 46.62 47.79 47.87
48.13 49.06 49.42 49.63 52.13
Houmb Data
The yearly maximum significant wave height measured in Myken-Skomvaer
(Norway) in the period 1949-1976 and published by Houmb et al. (1978) is
included below. We assume that this data will be used for the design of
sea structures.
5.60 6.55 6.65 7.35 7.80
7.90 8.00 8.50 9.05 9.15
9.40 9.60 9.80 9.90 10.85
10.90 11.10 11.30 11.30 11.55
11.75 12.85 12.90 13.40
Ocmulgee River Data
The yearly maximum water discharge of the Ocmulgee river measured at two
different locations, Macon and Hawksville, between 1910 and 1949, and
published by Gumbel (1964), are given below. The aim of the
analysis is assumed to be related to flood protection design.
Macon
4.8 7.3 7.9 8.5 10.7
14.2 14.3 16.9 19.0 19.1
19.6 21.0 22.7 24.0 25.4
28.3 28.3 28.8 31.0 31.0
32.6 33.3 33.9 37.0 40.4
44.8 44.8 47.1 47.8 50.2
51.0 57.6 64.4 65.3 66.2
72.5 73.4 73.4 78.6 84.0
Hawkinsville
5.9 5.9 6.9 7.6 12.2
13.3 13.5 14.3 15.2 16.2
17.4 18.8 19.3 19.9 20.1
25.8 26.2 27.0 28.2 30.0
30.3 33.0 34.8 35.4 37.9
40.0 40.4 41.6 42.4 44.0
44.4 45.2 46.8 50.0 52.0
57.0 61.0 68.0 70.5 79.0
Oldest Ages at Death in Sweden Data
The oldest ages at death in Sweden during the period 1905 to 1958 for women
and men, respectively, are given below. The analysis is needed in order
to forecast oldest ages at death in the future.
Women
101.50 101.69 102.12 102.32 102.54
102.72 102.78 102.92 103.14 103.31
103.38 103.41 103.46 103.53 103.56
103.56 103.77 103.83 103.86 103.94
103.97 104.01 104.12 104.27 104.33
104.37 104.40 104.42 104.46 104.52
104.71 104.85 104.87 105.01 105.01
105.02 105.03 105.19 105.32 105.45
105.64 105.71 105.83 105.86 105.87
105.88 105.98 106.13 106.15 106.15
106.52 107.49 107.89 107.90
Men
100.08 100.49 100.82 100.88 100.90
101.17 101.26 101.41 101.63 101.66
101.67 101.70 101.76 102.41 102.52
102.54 102.55 102.57 102.57 102.61
102.63 102.69 102.78 102.88 102.94
103.00 103.06 103.15 103.17 103.24
103.25 103.36 103.40 103.43 103.47
103.57 103.80 103.98 104.01 104.22
104.65 104.88 104.92 105.00 105.12
105.12 105.12 105.48 105.55 105.72
105.83 106.09 106.48 106.50