A New Finite Interval Lifetime Distribution Model for Fitting Bathtub-Shaped Failure Rate Curve

<table class="table-group" id="tab5"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td align="left">Model</td><td align="center"><span style="width: 27.9095ptpx;"><svg height="12.0395pt" id="M113" style="vertical-align:-2.3616pt" version="1.1" viewbox="-0.0498162 -9.6779 27.9095 12.0395" width="27.9095pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M238 0V26C174 32 166 38 166 104V712C132 700 70 683 18 677V653C81 647 87 645 87 577V104C87 38 78 32 15 26V0H238Z" id="g121-106"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="253" vert-adv-y="253"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,3.428,0)"><path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z" id="g121-108"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="547" vert-adv-y="547"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,10.879,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z" id="g113-41"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="346" vert-adv-y="346"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,15.567,0)"><path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z" id="g113-77"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="553" vert-adv-y="553"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,23.055,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z" id="g113-42"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="346" vert-adv-y="346"></glyph.data></g></svg></span></td><td align="center">AIC</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td align="left">FIRE</td><td align="center">−173.62</td><td align="center">355.23</td></tr><tr><td align="left">3-FIRE</td><td align="center">−231.75</td><td align="center">469.50</td></tr><tr><td align="left">DTM</td><td align="center">−217.50</td><td align="center">440.99</td></tr><tr><td align="left">FSM</td><td align="center">−173.63</td><td align="center">353.26</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Example <a href="https://static.hindawi.com/articles/mpe/volume-2015/954327/figures/#ex3">3</a>.

Mathematical Problems in Engineering

tab5

Table 5

Table 5: A New Finite Interval Lifetime Distribution Model for Fitting Bathtub-Shaped Failure Rate Curve 