Estimation of a Finite Population Mean under Random Nonresponse Using Kernel Weights

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left">Estimator</td><td class="align_center"><span style="width: 27.8761ptpx;"><svg height="21.7213pt" id="M177" style="vertical-align:-3.2728pt" version="1.1" viewbox="-0.0498162 -18.4485 27.8761 21.7213" width="27.8761pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,1.187,-9.421)"><path d="M470 557C393 591 314 624 246 666H224C156 624 76 591 0 557L12 532C86 550 163 573 235 596C309 572 384 550 458 532L470 557Z"></path></g><rect height="0.65243" width="8.50777" x="0" y="-14.458"></rect><rect height="0.65243" width="8.50777" x="0" y="-11.1958"></rect><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M640 650H413L406 622L438 617C475 611 483 605 463 571C422 503 346 400 296 333C264 403 215 529 199 575C189 604 191 614 228 618L262 622L271 650H30L23 622C90 615 97 609 119 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y="-11.1958"></rect><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M640 650H413L406 622L438 617C475 611 483 605 463 571C422 503 346 400 296 333C264 403 215 529 199 575C189 604 191 614 228 618L262 622L271 650H30L23 622C90 615 97 609 119 553L212 321C222 295 223 285 218 259L193 127C176 39 167 33 82 28L76 0H350L356 28C266 36 257 40 275 127L303 266C308 290 314 302 328 322C396 418 454 493 498 546C551 610 565 616 631 622L640 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.508,3.132)"><path d="M631 18C609 24 585 35 559 65C534 91 514 117 478 169C448 214 406 281 389 313C462 346 516 399 516 485C516 545 490 590 449 616C412 641 363 650 290 650H42V622C120 615 128 612 128 527V125C128 40 120 34 38 28V0H300V28C221 34 212 40 212 125V284H244C295 284 312 272 329 244C359 195 395 133 430 84C475 19 516 -3 592 -7C603 -8 615 -8 627 -8L631 18ZM212 316V563C212 591 215 602 223 607C231 613 248 617 277 617C352 617 423 577 423 469C423 415 407 375 368 345C343 324 310 316 260 316H212Z"></path></g><g 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class="align_center">0.0334</td><td class="align_center">0.1097</td><td class="align_center">0.1321</td></tr><tr><td class="align_left">Quadratic</td><td class="align_center">0.0093</td><td class="align_center">0.1455</td><td class="align_center">0.5835</td></tr><tr><td class="align_left">Sine</td><td class="align_center">0.4215</td><td class="align_center">1.5157</td><td class="align_center">1.555</td></tr><tr><td class="align_left">Exponential</td><td class="align_center">0.3430</td><td class="align_center">0.5220</td><td class="align_center">1.3780</td></tr><tr><td class="align_left">Bump</td><td class="align_center">0.0634</td><td class="align_center">0.2195</td><td class="align_center">0.2508</td></tr><tr><td class="align_left">Jump</td><td class="align_center">0.2250</td><td class="align_center">0.2951</td><td class="align_center">1.1611</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Summary results of MSE values.</div>

Journal of Probability and Statistics

tab3

Table 3

Table 3: Estimation of a Finite Population Mean under Random Nonresponse Using Kernel Weights 