Mixture of Inverse Weibull and Lognormal Distributions: Properties, Estimation, and Illustration

<table class="table-group" id="tab5"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td align="left">  Parameter </td><td align="center"><span style="width: 12.9579ptpx;"><svg height="10.6388pt" id="M164" style="vertical-align:-3.571919pt" version="1.1" viewbox="-0.0498162 -7.06688 12.9579 10.6388" width="12.9579pt" 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="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z" id="g113-113"></path><glyph.data ascent="3473" 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id="g113-234"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="555" vert-adv-y="555"></glyph.data></g></svg></span></td><td align="center"><span style="width: 7.78305ptpx;"><svg height="6.61354pt" id="M168" style="vertical-align:-0.2130003pt" version="1.1" viewbox="-0.0498162 -6.40054 7.78305 6.61354" width="7.78305pt" 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="M548 455L523 469C505 448 490 439 461 439C416 439 374 447 316 447C144 447 23 310 23 161C23 47 89 -12 179 -12C312 -12 429 106 429 244C429 303 419 344 368 386L371 388C404 383 440 378 474 378C507 378 530 411 548 455ZM350 274C350 191 308 25 198 25C144 25 108 75 108 157C108 264 170 395 276 395C296 395 320 384 333 360C347 334 350 316 350 274Z" id="g113-240"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="565" vert-adv-y="565"></glyph.data></g></svg></span></td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td align="left"><svg height="0.0996325pt" id="M169" style="vertical-align:-0.0498163pt" version="1.1" viewbox="-0.0498162 -0.0498162 4.64165 0.0996325" width="4.64165pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"></svg>90%  CIs </td><td align="center">0.111, 0.516</td><td align="center">1.351, 3.489</td><td align="center">0.732, 2.544</td><td align="center">0.582, 1.291</td><td align="center">0.887, 1.502</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Mathematical Problems in Engineering

tab5

Table 5

Table 5: Mixture of Inverse Weibull and Lognormal Distributions: Properties, Estimation, and Illustration 