Estimation of Log-Linear-Binomial  Distribution with Applications

<table>Variance of <svg height="12.85" id="M43" 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 various values of <svg height="6.4625001" id="M44" 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> at each value of <svg height="8.8625002" id="M45" style="vertical-align:-2.05875pt" version="1.1" viewbox="0 0 10.65 8.8625002" width="10.65" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,8.8625)">
<g transform="translate(72,-64.91)">
<text transform="matrix(1,0,0,-1,-71.95,67.01)">
<tspan style="font-size: 11.21px; " x="0" y="0">𝜓</tspan>
</text>
</g>
</g>
</svg> and <svg height="9.9624996" id="M46" style="vertical-align:-0.1575pt" version="1.1" viewbox="0 0 38.474998 9.9624996" width="38.474998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.9625)">
<g transform="translate(72,-64.03)">
<text transform="matrix(1,0,0,-1,-71.95,64.24)">
<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">2</tspan>
<tspan style="font-size: 11.21px; " x="25.072296" y="0">5</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Probability and Statistics

Estimation of Log-Linear-Binomial Distribution with Applications

Figure 3