Marshall-Olkin Discrete Uniform Distribution

<table class="table-group" id="tab19"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td align="left"> </td><td align="center"> May </td><td align="center"> September </td><td align="center"> February </td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td align="left"> m.l.e. of <svg height="16.325001" id="M322" style="vertical-align:-1.32405pt" version="1.1" viewbox="0 0 36.474998 16.325001" width="36.474998" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></td><td align="center"> 0.3511 </td><td align="center"> 0.3630 </td><td align="center"> 0.3594 </td></tr><tr><td align="left"><span style="width: 8.7250004px;"><svg height="11.8375" id="M323" style="vertical-align:-1.32405pt" version="1.1" viewbox="0 0 8.7250004 11.8375" width="8.7250004" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,1.425,11.388)"><path d="M470 557l-12 -25q-103 25 -223 64q-128 -41 -223 -64l-12 25q172 77 224 109h22q57 -35 224 -109z" id="xF5C01"></path></g><g transform="matrix(.017,-0,0,-.017,.062,11.575)"><path d="M483 97q-42 -50 -88.5 -79.5t-68.5 -29.5q-37 0 -17 93l22 102h-2q-54 -79 -144 -149q-59 -46 -100 -46q-24 0 -43 29t-19 86q0 78 34.5 153t94.5 120q41 31 94 51.5t98 20.5q29 0 72 -9q26 -6 39 -6l2 -4q-30 -117 -67 -323q-8 -41 2 -41q16 0 79 58zM374 387
q-32 15 -73 15q-52 0 -83 -23q-48 -36 -78 -108.5t-30 -152.5q0 -33 8.5 -50.5t20.5 -17.5q31 0 107 79t99 132q15 40 29 126z" id="x1D44E"></path></g>
</svg></span></td><td align="center"> 20 </td><td align="center"> 19 </td><td align="center"> 18 </td></tr><tr><td align="left"><svg height="20.5625" id="M324" style="vertical-align:-3.7947pt" version="1.1" viewbox="0 0 16.35 20.5625" width="16.35" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,15.775)"><path d="M565 434q-29 -30 -107.5 -131t-125.5 -168q22 -126 55 -265q8 -35 12.5 -45.5t11.5 -10.5q26 0 76 59l23 -23q-77 -111 -134 -111q-42 0 -63 96l-43 222q-148 -211 -219 -335h-10q-30 45 9 103l209 291q-27 155 -42 214q-7 27 -11.5 35.5t-12.5 8.5q-19 0 -62 -57l-21 21
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</svg> statistics </td><td align="center"> 9.80007 </td><td align="center"> 7.23453 </td><td align="center"> 7.79048 </td></tr><tr><td align="left"><svg height="11.175" id="M325" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 10.9375 11.175" width="10.9375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.113)"><path d="M619 482q0 -69 -40.5 -119t-96 -72.5t-118.5 -26.5h-44l-70 20l-31 -151q-14 -67 0.5 -83t89.5 -22l-5 -28h-287l8 28q65 7 81.5 22t29.5 83l79 398q12 56 0.5 70.5t-78.5 20.5l7 28h255q108 0 164 -43t56 -125zM524 478q0 141 -146 141q-25 0 -47 -8q-16 -6 -20.5 -13.5
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</svg> value </td><td align="center"> 0.1333 </td><td align="center"> 0.2997 </td><td align="center"> 0.2538</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Goodness of fit of MODU distribution with <svg height="11.125" id="M321" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 57.549999 11.125" width="57.549999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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q0 -76 10 -138.5t37 -107.5t69 -45q32 0 55.5 25t35.5 68.5t17.5 91.5t5.5 105t-5.5 105.5t-18 92t-36 68t-56.5 24.5z" id="x30"></path></g><g transform="matrix(.017,-0,0,-.017,49.325,10.862)"><path d="M153 550l-26 -186q79 31 111 31q90 0 141.5 -51t51.5 -119q0 -93 -89 -166q-85 -69 -173 -71q-32 0 -61.5 11.5t-41.5 23.5q-18 17 -17 34q2 16 22 33q14 9 26 -1q61 -50 124 -50q60 0 93 43.5t33 104.5q0 69 -41.5 110t-121.5 41q-53 0 -102 -20l38 305h286l6 -8
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</svg>.

Journal of Probability

Marshall-Olkin Discrete Uniform Distribution

Table 19