Polyhedral Star-Shaped Distributions

<div>Tetragon <svg height="8.73791pt" id="M702" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -8.68809 8.94669 8.73791" width="8.94669pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M70 662V0H236V253H391C522 253 628 317 628 459C628 600 519 662 390 662H70ZM491 604C555 583 584 521 584 457C584 399 551 329 491 310V604ZM447 305C432 298 397 297 381 297H236V618H388C404 618 432 616 447 609V305ZM192 44H114V618H192V44Z" id="g197-27"></path><glyph.data ascent="693" descent="-218" horiz-adv-x="678" vert-adv-y="678"></glyph.data></g></svg> (a) and level sets of the density of <svg height="8.68572pt" id="M703" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 10.0819 8.68572" width="10.0819pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M748 650H522L515 622L546 617C580 611 587 604 565 575C518 513 469 451 419 393C376 474 349 534 330 580C318 609 325 612 361 618L383 622L392 650H151L144 622C214 616 224 612 257 543L360 327C270 218 187 124 159 95C106 40 92 34 26 28L17 0H252L259 28L236 31C189 37 188 47 209 78C249 136 308 210 377 294L478 79C494 44 487 37 449 32L418 28L409 0H673L680 28C596 34 591 39 554 116L436 361C526 469 574 521 604 553C659 612 669 614 739 622L748 650Z" id="g113-89"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="765" vert-adv-y="765"></glyph.data></g></svg> (b) in Example <a href="https://static.hindawi.com/articles/jps/volume-2017/7176897/figures/#ex3">A.3</a>.</div>

Journal of Probability and Statistics

Polyhedral Star-Shaped Distributions

Figure 7