Estimation of Log-Linear-Binomial  Distribution with Applications

<table>The distribution of <svg height="12.85" id="M20" style="vertical-align:-2.87555pt" version="1.1" viewbox="0 0 13.1125 12.85" width="13.1125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.85)">
<g transform="translate(72,-61.72)">
<text transform="matrix(1,0,0,-1,-71.95,64.63)">
<tspan style="font-size: 11.21px; " x="0" y="0">𝑌</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.95,61.83)">
<tspan style="font-size: 7.85px; " x="0" y="0">𝑛</tspan>
</text>
</g>
</g>
</svg> for different values of <svg height="6.4625001" id="M21" style="vertical-align:-0.12375pt" version="1.1" viewbox="0 0 9.6625004 6.4625001" width="9.6625004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,6.4625)">
<g transform="translate(72,-66.83)">
<text transform="matrix(1,0,0,-1,-71.95,67.01)">
<tspan style="font-size: 11.21px; " x="0" y="0">𝜔</tspan>
</text>
</g>
</g>
</svg>, <svg height="12.325" id="M22" style="vertical-align:-2.05875pt" version="1.1" viewbox="0 0 45.537498 12.325" width="45.537498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.325)">
<g transform="translate(72,-62.14)">
<text transform="matrix(1,0,0,-1,-71.95,64.24)">
<tspan style="font-size: 11.21px; " x="0" y="0">𝜓</tspan>
<tspan style="font-size: 11.21px; " x="11.521824" y="0">=</tspan>
<tspan style="font-size: 11.21px; " x="22.315128" y="0">0</tspan>
<tspan style="font-size: 11.21px; " x="27.919128" y="0">.</tspan>
<tspan style="font-size: 11.21px; " x="30.721128" y="0">5</tspan>
</text>
</g>
</g>
</svg>, and <svg height="9.7875004" id="M23" style="vertical-align:-0.1575pt" version="1.1" viewbox="0 0 38.474998 9.7875004" width="38.474998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.7875)">
<g transform="translate(72,-64.17)">
<text transform="matrix(1,0,0,-1,-71.95,64.37)">
<tspan style="font-size: 11.21px; " x="0" y="0">𝑛</tspan>
<tspan style="font-size: 11.21px; " x="8.6749916" y="0">=</tspan>
<tspan style="font-size: 11.21px; " x="19.468296" y="0">1</tspan>
<tspan style="font-size: 11.21px; " x="25.072296" y="0">0</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Probability and Statistics

Estimation of Log-Linear-Binomial Distribution with Applications

Figure 2