Le Néandertal sous benzo<p>Is there a classical regression model where, for 𝑖=1,…,𝑛,</p><p>𝐸(𝑌ᵢ) = 𝑁 𝑝ᵢ </p><p>with 𝑁 a known constant, and</p><p>𝑝ᵢ=(exp 𝑋ᵢ β) / (∑ⱼ exp 𝑋ⱼ β)</p><p>Thus 𝑝ᵢ ∈ (0,1) and ∑ 𝑝ᵢ = 1. </p><p>Note that this is *not* a multinomial logistic regression. There is a single vector β to estimate. It should be estimated from a single set of observations 𝑌₁,…,𝑌ₙ (and the covariates 𝑋₁,…, 𝑋ₙ).</p><p><a href="https://mathstodon.xyz/tags/statistics" class="mention hashtag" rel="tag">#<span>statistics</span></a> <a href="https://mathstodon.xyz/tags/statisticalmodel" class="mention hashtag" rel="tag">#<span>statisticalmodel</span></a> <a href="https://mathstodon.xyz/tags/glm" class="mention hashtag" rel="tag">#<span>glm</span></a> <a href="https://mathstodon.xyz/tags/rstats" class="mention hashtag" rel="tag">#<span>rstats</span></a></p>