Mukhopadhyay, Nitis; Banerjee, Swarnali - In: METRON 71 (2013) 1, pp. 33-38
Misconceptions are many when it comes to Fisher information, sufficiency, and ancillarity, especially among beginners. Many believe that <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$\mathcal I _{T_{1}}(\theta )+\mathcal I _{T_{2}}(\theta )$$</EquationSource> </InlineEquation> should equal <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$\mathcal I _{T_{1}+T_{2}}(\theta )$$</EquationSource> </InlineEquation> for all <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$\theta $$</EquationSource> </InlineEquation>. We exhibit precise...</equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation>