Sheet1

Probability Density FunctionForce of MortalityObs.XiCiTerm 1Term 2Eq. 8.5:-77.2042574359Best EstimatesTime Step: xf(x) [Eq. 8.1]F(x) [Eq. 8.2]R(x) [Eq. 8.3]h(x) [Eq. 8.4]x*f(x) [Eq. 8.6]int x*f(x) [Eq. 8.6]int f(x) [Eq. 8.6]Current Time: x20Current Time: x301491-4.19891362140.3479517479n80.736696215710.00019654320.0000929750.9999070250.00019656150.00019654320.00019654320.0001965432Target Time: Xp60Target Time: Xp4582521-4.13271388920.3945267587B2.114034360220.00042528630.00040242670.99959757330.00042545750.00085057270.00104711590.000621829631011-3.3931323251.605427459330.00066775330.00094804990.99905195010.00066838690.00200325980.00305037570.0012895828Confidence Bands:80%Confidence Bands:90%4451-4.29378234590.2906260188dx140.00091930.00174093930.99825906070.00092090320.00367719990.00672757560.0022088828530000.12333079250.00117750350.00278886020.99721113980.00118079660.00588751740.0126150930.0033863863E=42.5970455221Eq. 8.6E=78.4600562904Eq. 8.66291-4.78325190160.114801100160.00144079590.00409763810.99590236190.00144672410.00864477550.02125986850.0048271822ur+1=22.5970455221Eq. 8.7ur+1=48.4600562904Eq. 8.77811-3.63896780481.006906952770.0017080340.00567176460.99432823540.00171777680.01195623770.03321610630.0065352162886001.14283262480.00197831670.00751471930.99248528070.00199329580.01582653390.04904264020.0085135329Lower Confidence LimitLower Confidence Limit9281-4.82234483760.106592889990.00225089510.00962916220.99037083780.00227278010.02025805620.06930069640.010764428Den=0.3655751559Eq. 8.8Den=0.880124737Eq. 8.810107001.8137334804100.00252512150.01201705810.98798294190.00255583510.02525121510.09455191160.0132895496Num=0.0365575156Eq. 8.8Num=0.0440062369Eq. 8.811641-3.90139650230.6119458016110.00280041960.01467976190.98532023810.00284214160.03080461590.12535652740.0160899692Lower Confidence=0.1Lower Confidence=0.0512661-3.86711581720.6530776682120.00307626560.01761807960.98238192040.00313143550.03691518690.16227171440.019166234813116002.1514019516130.00335217530.0208323140.9791676860.00342349460.04357827850.20584999290.02251841int f(X~lower)=0.0901824721Eq. 8.8int f(X~lower)=0.1638814998Eq. 8.814491-4.19891362140.3479517479140.00362769580.02432230010.97567769990.00371812930.05078774180.25663773470.0261461059X~lower=25Eq. 8.8X~lower=35Eq. 8.815801-3.65280691890.9808081295150.00390239970.02808743320.97191256680.00401517570.05853599510.31517372980.03004850561675000.8557174181160.00417588010.03212669150.96787330850.00431449040.0668140820.38198781180.0342243857Upper Confidence LimitUpper Confidence Limit17331-4.6393055930.1508610337170.00444774850.03643865590.96356134410.00461594740.07561172440.45759953620.0386721342Den=0.3655751559Eq 8.9Den=0.880124737Eq 8.918151-5.5176741840.0284894304180.00471763170.04102152660.95897847340.00491943440.08491737120.54251690750.0433897659Num=0.3290176403Eq. 8.9Num=0.8361185002Eq. 8.919791-3.66682011450.955070229190.00498517090.04587313790.95412686210.00522485120.09471824650.63723515390.0483749368Higher confidence=0.9Higher confidence=0.9520921-3.49710731281.3179574124200.00525001980.05099097150.94900902850.00553210730.10500039540.74223554930.0536249565-62.204246789615.0000106464210.00551184430.05637216910.94362783090.0058411210.11574873080.85798428010.0591368009int X~higher=0.3826425969Eq. 8.9int X~higher=0.9559937631Eq. 8.9[Eq. 8.5]220.00577032180.06201354430.93798645570.00615181790.12694708010.98493136020.0649071227X~higher=56Eq. 8.9X~higher=137Eq. 8.9230.00602514050.06791159310.93208840690.00646412990.13857823211.12350959230.0709322632240.00627599940.07406250530.92593749470.00677799470.15062398581.27413357810.0772082626250.0065226080.0804621750.9195378250.00709335470.16306519951.43719877750.0837308706260.00676468620.0871062110.9128937890.00741015690.17588184161.61308061910.0904955568residual life?270.00700196450.09398994730.90601005270.00772835190.18905304271.80213366180.0974975214280.00723418390.10110845370.89889154630.0080478940.20255714852.00469081030.1047317052290.00746109570.10845654580.89154345420.00836874040.21637177472.2210625850.1121928009300.00768246210.11602879640.88397120360.00869085110.23047386232.45153644730.119875263310.0078980560.12381954570.87618045430.00901418870.24483973492.69637618230.127773319320.00810766110.1318229120.8681770880.00933871820.25944515642.95582133870.1358809801330.00831107240.14003280320.85996719680.00966440630.27426538993.23008672850.1441920525340.00850809580.14844292740.85155707260.00999122210.28927525733.51936198580.1527001483350.00869854860.15704680450.84295319550.01031913590.30444923.82381118580.1613986969360.00888225940.16583777710.83416222290.010648120.31976133984.14357252560.1702809563370.00905906860.17480902270.82519097730.0109781480.335185544.47875806560.179340025380.00922882810.18395356440.81604643560.01130919480.35069546734.82945353290.1885688531390.00939140140.19326428330.80673571670.01164123660.36626465365.19571818660.1979602544400.00954666390.20273393010.79726606990.01197425090.38186655765.57758474410.2075069184410.00969450310.21235513660.78764486340.0123082160.3974746265.97505937020.2172014215420.0098348180.2221204280.7778795720.01264311130.41306235556.38812172560.2270362394430.00996751980.23202223470.76797776530.01297891720.42860335226.81672507780.2370037593440.01009253160.24205290420.75794709580.01331561490.44407139247.26079647020.2470962909450.01020978850.25220471290.74779528710.01365318640.45944048137.72023695150.2573060794460.01031923720.26246987830.73753012170.01399161460.47468491088.19492186230.2676253166470.01042083650.27284057070.72715942930.01433088280.48977931688.6847011790.2780461531480.0105145570.28330892490.71669107510.01467097520.50469873419.18939991320.2885607101490.01060038060.29386705220.70613294780.01501187650.51941865129.70881856440.2991610907500.01067830120.30450705170.69549294830.01535357230.53391506210.24273362640.3098393919510.01074832390.31522102190.68477897810.01569604820.548164516910.79089814330.3205877158520.01081046480.32600107210.67399892790.01603929080.562144171411.35304231460.3313981806530.01086475160.33683933340.66316066660.01638328710.575831833111.92887414770.3422629322540.01091122230.34772796980.65227203020.01672802430.589206006412.51808015410.3531741545550.01094992610.35865918890.64134081110.01707349030.602245934713.12032608880.3641240806560.01098092220.36962525260.63037474740.01741967330.614931640813.73525772970.3751050028570.01100428010.38061848710.61938151290.01776656210.627243964714.36250169440.3861092829580.01102007930.39163129310.60836870690.01811414550.639164598415.00166629280.3971293621590.01102840880.40265615570.59734384430.01846241310.650676119115.65234241180.4081577709600.0110293670.41368565350.58631434650.01881135440.661762018816.31410443060.4191871379610.01102306120.42471246820.57528753180.01916095960.672406731916.98651116250.4302101991620.01100960740.43572939310.56427060690.0195112190.682595659617.66910682210.4412198065630.010989130.44672934170.55327065830.01986212330.692315191818.36142201390.4522089365640.01096176130.4577053560.5422946440.02021366330.70155272619.06297473990.4631706979650.01092764130.46865061390.53134938610.02056583030.710296683319.77327142320.4740983392660.0108869170.47955843710.52044156290.02091861560.718536522320.49180794550.4849852562670.01083974250.49042229770.50957770230.02127201110.726262748721.21807069420.4958249987680.01078627830.50123582540.49876417460.02162600850.733466923621.95153761780.506611277690.01072669080.51199281320.48800718680.02198060010.74014166822.69167928580.5173379678700.01066115240.52268722340.47731277660.02233577830.746280664823.43795995060.5279991202710.01058984030.53331319330.46668680670.02269153550.751878658524.18983860910.5385889604720.01051293680.54386504010.45613495990.02304786470.756931451124.94677006020.5491018973730.01043062870.55433726540.44566273460.02340475860.761435896425.70820595660.559532526740.01034310660.56472455950.43527544050.02376221050.765389891226.47359584770.5698756326750.01025056490.57502180540.42497819460.02412021370.768792364127.24238821190.5801261975760.01015320080.58522408170.41477591830.02447876160.77164326228.01403147390.5902793983770.01005121470.59532666630.40467333370.02483784790.773943533528.78797500740.600330613780.00994480910.6053250380.3946749620.02519746650.775695111129.56367011860.6102754221790.00983418850.61521487950.38478512050.02555761110.776900890330.34057100890.6201096106800.00971955880.62499207860.37500792140.02591827610.777564707231.1181357160.6298291694810.00960112730.63465272990.36534727010.02627945550.777691313531.89582702960.6394302968820.00947910180.64419313530.35580686470.02664114380.777286350632.67311338020.6489093986830.00935369060.6536098050.3463901950.02700333540.776356320633.44946970080.6582630892840.00922510190.66289945730.33710054270.0273660250.774908556934.22437825770.6674881911850.00909354340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