Figure 1.
Event histograms binned by ATSLI with 5h bins, broken down by cause, with the ATSLI axis truncated to 300h for ease of visualization. The top charts describe GA data. The bottom charts, reported only for comparison, represent commercial aviation (Parts 121, 129 and 135).
Figure 1.
Event histograms binned by ATSLI with 5h bins, broken down by cause, with the ATSLI axis truncated to 300h for ease of visualization. The top charts describe GA data. The bottom charts, reported only for comparison, represent commercial aviation (Parts 121, 129 and 135).
Figure 2.
Visual comparison between the empirical density histogram of strictly aircraft-caused events, in red, and strictly human-caused ones, in green. The left and right charts are the distribution over ATSLI and ETSLI, respectively. Bin width is 5 hours. Green and red histograms are overlapped and semi-transparent: a bin with a "red top" indicates that airplane-caused events exceed pilot-caused ones. The green sample is our over-representation reference. Red bins surpassing green bins in the early (0-25) hours in service indicate that failure rates are higher at low TSLI, even after correcting for sampling bias. TSLI values are truncated at 300h for ease of presentation.
Figure 2.
Visual comparison between the empirical density histogram of strictly aircraft-caused events, in red, and strictly human-caused ones, in green. The left and right charts are the distribution over ATSLI and ETSLI, respectively. Bin width is 5 hours. Green and red histograms are overlapped and semi-transparent: a bin with a "red top" indicates that airplane-caused events exceed pilot-caused ones. The green sample is our over-representation reference. Red bins surpassing green bins in the early (0-25) hours in service indicate that failure rates are higher at low TSLI, even after correcting for sampling bias. TSLI values are truncated at 300h for ease of presentation.
Figure 3.
Empirical survival functions of strictly aircraft-caused events, in red, and strictly human-caused ones, in green. The left and right charts are the distribution over ATSLI and ETSLI, respectively. The green distribution is our chosen measure of over-representation. The chart is limited to 250h for ease of illustration.
Figure 3.
Empirical survival functions of strictly aircraft-caused events, in red, and strictly human-caused ones, in green. The left and right charts are the distribution over ATSLI and ETSLI, respectively. The green distribution is our chosen measure of over-representation. The chart is limited to 250h for ease of illustration.
Figure 5.
We use Cox Proportional Hazard (CPH) model fitting to estimate aircraft risk corrected for sampling bias. Visually, the proportional hazard is the vertical distance between the two Cumulative Hazard Functions in log-log space. For ease of comparison, we chart both the empirical CHFs of the actual distributions (discrete points), and the CHFs of corresponding constant-hazard rate , fitted to the data (dashed lines). Green curves are our chosen measure of over-representation.
Figure 5.
We use Cox Proportional Hazard (CPH) model fitting to estimate aircraft risk corrected for sampling bias. Visually, the proportional hazard is the vertical distance between the two Cumulative Hazard Functions in log-log space. For ease of comparison, we chart both the empirical CHFs of the actual distributions (discrete points), and the CHFs of corresponding constant-hazard rate , fitted to the data (dashed lines). Green curves are our chosen measure of over-representation.
Figure 6.
Failure probability plotted in log-log scale for each fitted distribution: (a) ATSLI of strictly aircraft-caused events; (b) ATSLI of strictly human-caused events; (c) ETSLI of strictly aircraft-caused events; (d) ETSLI of strictly human-caused events. We find a higher quality of fit for ATSLI data than for ETSLI.
Figure 6.
Failure probability plotted in log-log scale for each fitted distribution: (a) ATSLI of strictly aircraft-caused events; (b) ATSLI of strictly human-caused events; (c) ETSLI of strictly aircraft-caused events; (d) ETSLI of strictly human-caused events. We find a higher quality of fit for ATSLI data than for ETSLI.
Figure 7.
Relative hazard function for aircraft-caused events, as a function of ATSLI.
Figure 7.
Relative hazard function for aircraft-caused events, as a function of ATSLI.
Table 1.
Breakdown of NTSB events (accidents and serious incidents) that occurred 2008-2024 per type of operation, indicated by the Part of CFR, Title 14 governing those operations. (Space and unmanned operations excluded.) General aviation accounts for a large majority of these events.
Table 1.
Breakdown of NTSB events (accidents and serious incidents) that occurred 2008-2024 per type of operation, indicated by the Part of CFR, Title 14 governing those operations. (Space and unmanned operations excluded.) General aviation accounts for a large majority of these events.
| Regulations |
Type of Operations |
Events |
| Part 91 |
General aviation |
20,524 |
| Part 137 |
Agricultural operations |
1,142 |
| Part 135 |
Air taxi and charter operations |
855 |
| Part 121 |
Domestic airline transport operations |
849 |
| Part 129 |
Foreign airline transport operations |
319 |
| — |
Public-use operations |
270 |
| Part 133 |
Rotorcraft external load operations |
119 |
| Part 91K |
Fractional ownership operation |
14 |
| Part 125 |
Private carriage on large airplane |
6 |
| Part 103 |
Ultralight vehicles |
5 |
| Other |
Other and unknown operations |
3,855 |
| Total |
TOTAL |
27,958 |
Table 2.
NTSB event sample sizes involving airplanes with recorded Airframe or Engine Time in Service since Last Inspection (ATSLI and ETSLI, respectively). Breakdown by cause of event. Comparison between GA and Commercial Aviation.
Table 2.
NTSB event sample sizes involving airplanes with recorded Airframe or Engine Time in Service since Last Inspection (ATSLI and ETSLI, respectively). Breakdown by cause of event. Comparison between GA and Commercial Aviation.
| |
General Aviation |
Commercial Aviation |
| Event count |
(Part 91) |
(Parts 121, 129, 135) |
| NSTB Airplane events |
16,635 |
1,109 |
| NTSB events with ATSLI recorded |
5,696 |
217 |
| Human-related events |
4,298 |
151 |
| Aircraft-related events |
4,702 |
155 |
| Strictly human-caused events |
579 |
42 |
| Strictly aircraft-caused events |
983 |
46 |
| Dual-cause events |
3,719 |
109 |
| NTSB Airplane events with engine time records |
14,815 |
296 |
| NTSB events with ETSLI recorded |
5,181 |
144 |
| Human-related events |
4,196 |
118 |
| Aircraft-related events |
4,361 |
97 |
| Strictly human-caused events |
486 |
39 |
| Strictly aircraft-caused events |
651 |
18 |
| Dual-cause events |
3,710 |
79 |
Table 3.
Absolute baseline hazard rates () and corresponding MTBF for airplane-related and for strictly airplane-caused events, obtained cross-referencing NTSB and FAA statistics over the years 2018-2023. Values of are expressed in events per million hours (pMh) in service.
Table 3.
Absolute baseline hazard rates () and corresponding MTBF for airplane-related and for strictly airplane-caused events, obtained cross-referencing NTSB and FAA statistics over the years 2018-2023. Values of are expressed in events per million hours (pMh) in service.
| |
|
Aircraft-related events |
Strictly aircraft-caused events |
| |
Hours in |
Event |
|
MTBF |
Event |
|
MTBF |
| |
Service |
count |
(pMh) |
(hours) |
count |
(pMh) |
(hours) |
| Single Engine |
76,815,154 |
3,964 |
51.6044 |
19,378 |
662 |
8.6181 |
116,035 |
| Twin Engine |
9,179,927 |
292 |
31.8085 |
31,438 |
51 |
5.5556 |
179,999 |
| All Piston |
85,995,081 |
4,256 |
49.4912 |
20,206 |
713 |
8.2912 |
120,610 |
Table 4.
Breakdown of Part 91 NTSB-tracked airplane events by primary purpose of flight. Personal flying is responsible for 75.7% of all tracked events.
Table 4.
Breakdown of Part 91 NTSB-tracked airplane events by primary purpose of flight. Personal flying is responsible for 75.7% of all tracked events.
| Code |
Primary Purpose |
Events |
| PERS |
Personal |
12,568 |
| INST |
Instructional |
2,451 |
| BUS |
Business |
303 |
| POSI |
Repositioning |
286 |
| FLTS |
Flight Test |
219 |
| AOBV |
Aerial Observation |
130 |
| OWRK |
Other work use |
115 |
| SKYD |
Skydiving |
100 |
| FERY |
Ferry |
98 |
| BANT |
Banner Tow |
77 |
| EXEC |
Executive/ Corporate |
76 |
| BUS |
Business |
69 |
| ASHO |
Air race / Airshow |
55 |
| UNK |
Unknown |
30 |
| GLDT |
Glider tow |
29 |
| PUBU |
Public Use / Service |
15 |
| AAPL |
Aerial Application |
7 |
| ADRP |
Air Drop |
4 |
| FIRF |
Firefighting |
2 |
| |
TOTAL |
16,634 |
Table 5.
Results of 2-sample Kolmogorov-Smirnov hypothesis testing.
Table 5.
Results of 2-sample Kolmogorov-Smirnov hypothesis testing.
| |
ATSLI |
ETSLI |
| K-S statistic |
0.09570 |
0.08465 |
| Number of events |
5,696 |
5,181 |
| p-value |
0.00115 |
0.01706 |
| Conclusions |
Reject
|
Reject
|
Table 7.
Absolute rates of strictly-aircraft caused and aircraft-related events in the first 15 hours of ATSLI, for single-engine GA airplanes.
Table 7.
Absolute rates of strictly-aircraft caused and aircraft-related events in the first 15 hours of ATSLI, for single-engine GA airplanes.
| |
|
Single-Engine Airplanes |
| ATSLI |
|
strict |
aircraft |
MTBF strict |
MTBF aircraft |
| |
|
aircraft |
related |
aircraft |
related |
| (h) |
|
(pMh) |
(pMh) |
(h) |
(h) |
| 1 |
1.338 |
11.533 |
69.059 |
86,707 |
14,480 |
| 2 |
1.300 |
11.207 |
67.106 |
89,230 |
14,902 |
| 3 |
1.275 |
10.992 |
65.818 |
90,977 |
15,193 |
| 4 |
1.256 |
10.821 |
64.798 |
92,409 |
15,433 |
| 5 |
1.239 |
10.676 |
63.927 |
93,668 |
15,643 |
| 6 |
1.224 |
10.547 |
63.153 |
94,817 |
15,835 |
| 7 |
1.210 |
10.429 |
62.446 |
95,889 |
16,014 |
| 8 |
1.197 |
10.319 |
61.792 |
96,905 |
16,183 |
| 9 |
1.186 |
10.217 |
61.177 |
97,878 |
16,346 |
| 10 |
1.174 |
10.120 |
60.596 |
98,817 |
16,503 |
| 11 |
1.164 |
10.027 |
60.043 |
99,728 |
16,655 |
| 12 |
1.153 |
9.939 |
59.513 |
100,616 |
16,803 |
| 13 |
1.143 |
9.854 |
59.003 |
101,485 |
16,948 |
| 14 |
1.134 |
9.772 |
58.511 |
102,338 |
17,091 |
| 15 |
1.125 |
9.692 |
58.035 |
103,177 |
17,231 |
Table 8.
Absolute rates of strictly-aircraft caused and aircraft-related events in the first 15 hours of ATSLI, for twin-engine GA airplanes.
Table 8.
Absolute rates of strictly-aircraft caused and aircraft-related events in the first 15 hours of ATSLI, for twin-engine GA airplanes.
| |
|
Twin-Engine Airplanes |
| ATSLI |
|
strict |
aircraft |
MTBF strict |
MTBF aircraft |
| |
|
aircraft |
related |
aircraft |
related |
| (h) |
|
(pMh) |
(pMh) |
(h) |
(h) |
| 1 |
1.338 |
7.435 |
42.567 |
134,504 |
23,492 |
| 2 |
1.300 |
7.225 |
41.364 |
138,418 |
24,176 |
| 3 |
1.275 |
7.086 |
40.569 |
141,128 |
24,649 |
| 4 |
1.256 |
6.976 |
39.941 |
143,349 |
25,037 |
| 5 |
1.239 |
6.882 |
39.404 |
145,302 |
25,378 |
| 6 |
1.224 |
6.799 |
38.927 |
147,084 |
25,689 |
| 7 |
1.210 |
6.723 |
38.491 |
148,747 |
25,980 |
| 8 |
1.197 |
6.652 |
38.088 |
150,323 |
26,255 |
| 9 |
1.186 |
6.586 |
37.709 |
151,832 |
26,518 |
| 10 |
1.174 |
6.524 |
37.351 |
153,289 |
26,773 |
| 11 |
1.164 |
6.464 |
37.010 |
154,702 |
27,019 |
| 12 |
1.153 |
6.407 |
36.683 |
156,080 |
27,260 |
| 13 |
1.143 |
6.352 |
36.369 |
157,428 |
27,496 |
| 14 |
1.134 |
6.299 |
36.066 |
158,751 |
27,727 |
| 15 |
1.125 |
6.248 |
35.773 |
160,052 |
27,954 |
Table 9.
Absolute rates of strictly-aircraft caused and aircraft-related events in the first 15 hours of ATSLI, for generic piston planes, regardless of engine count.
Table 9.
Absolute rates of strictly-aircraft caused and aircraft-related events in the first 15 hours of ATSLI, for generic piston planes, regardless of engine count.
| |
|
Aggregate Piston Airplanes - regardless of engine count |
| ATSLI |
|
strict |
aircraft |
MTBF strict |
MTBF aircraft |
| |
|
aircraft |
related |
aircraft |
related |
| (h) |
|
(pMh) |
(pMh) |
(h) |
(h) |
| 1 |
1.338 |
11.096 |
66.231 |
90,126 |
15,099 |
| 2 |
1.300 |
10.782 |
64.358 |
92,749 |
15,538 |
| 3 |
1.275 |
10.575 |
63.122 |
94,565 |
15,842 |
| 4 |
1.256 |
10.411 |
62.144 |
96,053 |
16,092 |
| 5 |
1.239 |
10.271 |
61.309 |
97,361 |
16,311 |
| 6 |
1.224 |
10.147 |
60.566 |
98,555 |
16,511 |
| 7 |
1.210 |
10.033 |
59.889 |
99,670 |
16,698 |
| 8 |
1.197 |
9.928 |
59.261 |
100,726 |
16,874 |
| 9 |
1.186 |
9.829 |
58.672 |
101,737 |
17,044 |
| 10 |
1.174 |
9.736 |
58.115 |
102,713 |
17,207 |
| 11 |
1.164 |
9.647 |
57.584 |
103,660 |
17,366 |
| 12 |
1.153 |
9.562 |
57.075 |
104,583 |
17,521 |
| 13 |
1.143 |
9.480 |
56.587 |
105,487 |
17,672 |
| 14 |
1.134 |
9.401 |
56.115 |
106,373 |
17,821 |
| 15 |
1.125 |
9.324 |
55.659 |
107,245 |
17,967 |