Gumbelsurvival: Survival related functions for the Gumbel distribution
In reliaR: Package for some probability distributions.

Description Usage Arguments Value References See Also Examples

Conditional reliability function (crf), hazard function, hazard rate average (HRA) and survival function for the Gumbel distribution with location parameter mu and scale parameter sigma.

crf.gumbel(x, t = 0, mu, sigma)
hgumbel(x, mu, sigma)
hra.gumbel(x, mu, sigma)
sgumbel(x, mu, sigma)

`x`	vector of quantiles.
`mu`	location parameter.
`sigma`	scale parameter.
`t`	age component.

crf.gumbel gives the conditional reliability function (crf), hgumbel gives the hazard function, hra.gumbel gives the hazard rate average (HRA) function, and sgumbel gives the survival function for the Gumbel distribution.

Marshall, A. W., Olkin, I.(2007). Life Distributions: Structure of Nonparametric, Semiparametric, and Parametric Families, Springer, New York.

dgumbel for other Gumbel distribution related functions;

## load data set
data(dataset2)
## Maximum Likelihood(ML) Estimates of mu & sigma for the data(dataset2)
## Estimates of mu & sigma using 'maxLik' package
## mu.est = 212.157, sigma.est = 151.768

## Reliability indicators for data(dataset2):

## Reliability function
sgumbel(dataset2, 212.157, 151.768)

## Hazard function
hgumbel(dataset2, 212.157, 151.768)

## hazard rate average(hra)
hra.gumbel(dataset2, 212.157, 151.768)

## Conditional reliability function (age component=0)
crf.gumbel(dataset2, 0.00, 212.157, 151.768)

## Conditional reliability function (age component=3.0)
crf.gumbel(dataset2, 3.0, 212.157, 151.768)

  [1] 0.976223654 0.974418341 0.965436041 0.956268409 0.942380779 0.942380779
  [7] 0.934470710 0.934470710 0.934470710 0.930880389 0.924628393 0.924628393
 [13] 0.905344166 0.891582915 0.881831970 0.881831970 0.873363574 0.871633278
 [19] 0.871633278 0.869890937 0.868136622 0.861001124 0.861001124 0.853680218
 [25] 0.830660148 0.828673643 0.818592770 0.760405711 0.744467062 0.742167067
 [31] 0.742167067 0.725922980 0.702342145 0.688026639 0.678429360 0.676024420
 [37] 0.656722035 0.651883150 0.627653311 0.591375199 0.588966437 0.576950832
 [43] 0.576950832 0.572159422 0.569767246 0.569767246 0.567377537 0.557845043
 [49] 0.538923349 0.534226406 0.524876831 0.517905633 0.510971590 0.504076451
 [55] 0.499502137 0.492675536 0.492675536 0.490409533 0.485892163 0.474686635
 [61] 0.463611822 0.454850132 0.454850132 0.448338005 0.444025378 0.431229138
 [67] 0.418651384 0.412446650 0.382294060 0.382294060 0.374504910 0.372574489
 [73] 0.363024354 0.357376331 0.337198659 0.333620316 0.299374136 0.267911793
 [79] 0.263429533 0.261949037 0.244708119 0.237807096 0.236446589 0.236446589
 [85] 0.228420131 0.205715514 0.205715514 0.205715514 0.205715514 0.198592721
 [91] 0.198592721 0.184990558 0.170166578 0.169149402 0.149921291 0.131890270
 [97] 0.129483718 0.125562803 0.097341531 0.096734227 0.088599936 0.081118596
[103] 0.056453966 0.056453966 0.052612771 0.032858318 0.031604986 0.025178514
[109] 0.022985508 0.005773593 0.003644187
  [1] 0.0006000376 0.0006341343 0.0007937753 0.0009430524 0.0011497393
  [6] 0.0011497393 0.0012592072 0.0012592072 0.0012592072 0.0013072243
 [11] 0.0013885944 0.0013885944 0.0016240769 0.0017801426 0.0018856607
 [16] 0.0018856607 0.0019742635 0.0019920427 0.0019920427 0.0020098385
 [21] 0.0020276499 0.0020990276 0.0020990276 0.0021705617 0.0023854004
 [26] 0.0024032811 0.0024925436 0.0029663666 0.0030857743 0.0031026865
 [31] 0.0031026865 0.0032199735 0.0033839439 0.0034801453 0.0035433219
 [36] 0.0035589933 0.0036825536 0.0037129311 0.0038616561 0.0040745909
 [41] 0.0040883453 0.0041562822 0.0041562822 0.0041830665 0.0041963748
 [46] 0.0041963748 0.0042096272 0.0042620777 0.0043642943 0.0043892900
 [51] 0.0044386131 0.0044750223 0.0045109334 0.0045463482 0.0045696834
 [56] 0.0046042759 0.0046042759 0.0046156977 0.0046383782 0.0046941334
 [61] 0.0047485481 0.0047911245 0.0047911245 0.0048225049 0.0048431643
 [66] 0.0049039029 0.0049628063 0.0049915800 0.0051288407 0.0051288407
 [71] 0.0051636298 0.0051722106 0.0052144243 0.0052392067 0.0053266589
 [76] 0.0053419949 0.0054862392 0.0056149134 0.0056329594 0.0056389047
 [81] 0.0057075908 0.0057348049 0.0057401515 0.0057401515 0.0057715716
 [86] 0.0058593357 0.0058593357 0.0058593357 0.0058593357 0.0058865372
 [91] 0.0058865372 0.0059380548 0.0059935733 0.0059973593 0.0060683701
 [96] 0.0061340197 0.0061427145 0.0061568472 0.0062573688 0.0062595092
[101] 0.0062880876 0.0063142245 0.0063994144 0.0063994144 0.0064125490
[106] 0.0064795469 0.0064837670 0.0065053485 0.0065126915 0.0065699464
[111] 0.0065769839
  [1] 0.002005297 0.001727637 0.001256265 0.001146581 0.001119733 0.001119733
  [7] 0.001129583 0.001129583 0.001129583 0.001136897 0.001152402 0.001152402
 [13] 0.001212684 0.001261064 0.001296430 0.001296430 0.001327484 0.001333849
 [19] 0.001333849 0.001340264 0.001346726 0.001373023 0.001373023 0.001399988
 [25] 0.001484276 0.001491499 0.001528004 0.001733564 0.001788404 0.001796271
 [31] 0.001796271 0.001851511 0.001930790 0.001978454 0.002010233 0.002018176
 [37] 0.002081656 0.002097500 0.002176483 0.002293907 0.002301679 0.002340418
 [43] 0.002340418 0.002355855 0.002363560 0.002363560 0.002371257 0.002401951
 [49] 0.002462876 0.002478006 0.002508139 0.002530624 0.002553009 0.002575291
 [55] 0.002590087 0.002612194 0.002612194 0.002619538 0.002634192 0.002670611
 [61] 0.002706717 0.002735373 0.002735373 0.002756728 0.002770900 0.002813096
 [67] 0.002854809 0.002875482 0.002976982 0.002976982 0.003003518 0.003010117
 [73] 0.003042899 0.003062399 0.003132804 0.003145420 0.003268459 0.003385855
 [79] 0.003402983 0.003408665 0.003475776 0.003503160 0.003508596 0.003508596
 [85] 0.003540932 0.003635083 0.003635083 0.003635083 0.003635083 0.003665531
 [91] 0.003665531 0.003725056 0.003792243 0.003796951 0.003888616 0.003979931
 [97] 0.003992578 0.004013441 0.004174784 0.004178512 0.004229711 0.004279119
[103] 0.004463245 0.004463245 0.004495872 0.004691690 0.004706322 0.004787730
[109] 0.004818507 0.005185574 0.005276900
  [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
 [38] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
 [75] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
  [1] 1.056824 1.055421 1.049732 1.045383 1.040406 1.040406 1.038133 1.038133
  [9] 1.038133 1.037200 1.035698 1.035698 1.031822 1.029568 1.028160 1.028160
 [17] 1.027041 1.026823 1.026823 1.026607 1.026393 1.025555 1.025555 1.024745
 [25] 1.022477 1.022298 1.021428 1.017324 1.016405 1.016278 1.016278 1.015419
 [33] 1.014277 1.013636 1.013226 1.013126 1.012352 1.012167 1.011283 1.010086
 [41] 1.010011 1.009646 1.009646 1.009504 1.009434 1.009434 1.009365 1.009092
 [49] 1.008572 1.008447 1.008203 1.008025 1.007851 1.007681 1.007570 1.007407
 [57] 1.007407 1.007353 1.007247 1.006989 1.006741 1.006550 1.006550 1.006410
 [65] 1.006318 1.006052 1.005798 1.005675 1.005101 1.005101 1.004958 1.004924
 [73] 1.004753 1.004653 1.004307 1.004247 1.003693 1.003214 1.003148 1.003126
 [81] 1.002878 1.002780 1.002761 1.002761 1.002650 1.002342 1.002342 1.002342
 [89] 1.002342 1.002248 1.002248 1.002072 1.001883 1.001871 1.001634 1.001417
 [97] 1.001389 1.001343 1.001020 1.001013 1.000922 1.000840 1.000574 1.000574
[105] 1.000534 1.000329 1.000316 1.000251 1.000228 1.000057 1.000036