データが極端に少ない状況下で、広告の露出頻度やリーチ率を正確に推定するための確率モデル（特にNegative Binomial Distribution）をRで実装する方法を、理論から実践まで解説。 
・Poisson分布＋Gamma事前分布からNegative Binomial分布を導出し、過分散・ゼロ過剰なカウントデータをモデリングする考え方
・限られたCM露出データからリーチ率（r_g = 1 - P(F=0)）や累積リーチ曲線を推定するRコード（dnbinom / pnbinomの活用例）
・lm()などの単純回帰では対応しにくいスパースデータへの実践的なアプローチと、推定精度を上げるポイント 
顧客の購入頻度・サイト訪問回数など、他のビジネスにおけるカウントデータの過分散問題にもそのまま応用可能。階層モデルに拡張して「グループ間で情報を借りる」手法のヒントも得られます。 
マーケティングの実務課題を題材に、理論の導出 → Rでの実装 → 具体的なデータ例まで一貫して解説されている。Rでの実践的な発表資料で「すぐに試せる」レベルが高いです。 speakerdeck.com/dropout009/j…

First binomial formula.

why am i sitll in binomial combination hell its been a month😐😐

You suck at probability and stats. I bet you've never even heard of binomial probability.

Cartesian 2D plot Cartesian 3D plot Polar plot Spherical coordinate plot Cylindrical coordinate plot Hyperbolic coordinate plot Log-polar plot Spiral plot Radial wheel Prime wheel Atomic-number wheel Proton-count ladder Periodic-table path Element transition map Node-link graph Complete graph Force-directed graph Spring layout graph Circular network graph Radial network graph Chord diagram Arc diagram Hive plot Sankey diagram Alluvial diagram Flow map Tree diagram Dendrogram Hierarchical cluster map Treemap Sunburst chart Icicle chart Voronoi diagram Delaunay triangulation Triangle mesh Tetrahedral mesh Convex hull Alpha shape Point cloud Density cloud Heat map Contour map Filled contour map Surface plot Wireframe plot 3D mesh plot 3D scatter plot Bubble chart Bubble network Hexbin plot 2D histogram 3D histogram Bar chart Stacked bar chart Grouped bar chart Horizontal bar chart Line chart Multi-line chart Area chart Stacked area chart Streamgraph Step chart Lollipop chart Dot plot Strip plot Swarm plot Beeswarm plot Box plot Violin plot Ridge plot Joy plot Scatter plot Scatter matrix Pair plot Correlation matrix Covariance matrix Distance matrix Adjacency matrix Incidence matrix Laplacian matrix view Eigenvalue spectrum Eigenvector map PCA plot t-SNE plot UMAP plot MDS plot Isomap projection Spectral embedding Phase-space plot State-space plot Phase portrait Vector field Quiver plot Streamline plot Flow field Gradient field Curl field Divergence field Potential field map Electric field line plot Magnetic field line plot Equipotential contour plot Orbital shell diagram Electron shell diagram Energy-level diagram Nuclear shell model view Isotope chart Nuclide map Decay chain graph Stability valley plot Binding-energy curve Mass defect plot Proton-neutron scatter plot Neutron-offset plot Atomic radius chart Ionization energy chart Electronegativity chart Electron affinity chart Oxidation-state chart Periodic trend heatmap Periodic table heatmap Periodic spiral table Periodic cylinder Periodic torus Periodic helix 3D periodic table Element similarity network Chemical-property radar chart Spider chart Parallel coordinates plot Andrews curve RadViz plot Barycentric triangle plot Ternary plot Simplex plot Pythagorean triangle map Triangle-count growth chart Edge-count growth chart Combination-growth curve Binomial coefficient chart Pascal triangle view Combinatorial lattice Hypergraph view 3-uniform hypergraph Clique complex Simplicial complex Vietoris-Rips complex Čech complex Persistent homology barcode Persistence diagram Betti number plot Topological skeleton Manifold projection Toroidal projection Klein-bottle projection Möbius strip projection Hyperboloid plot Saddle surface plot Paraboloid plot Cone projection Sphere projection Geodesic dome view Great-circle network Latitude-longitude grid Mercator projection Orthographic projection Stereographic projection Gnomonic projection Lambert projection Mollweide projection Aitoff projection Hammer projection Radar sweep animation Rotating 3D GIF Exploded-view animation Layer-by-layer animation Time-sliced animation Phase-shift animation Pulse animation Morphing animation Growth animation Edge-activation animation Triangle-activation animation Node-influence animation Density-field animation Heat-diffusion animation Wave-interference animation Standing-wave plot Fourier spectrum Fourier transform view Wavelet transform view Spectrogram Recurrence plot Chaos attractor Lorenz attractor Strange attractor Bifurcation diagram Logistic map plot Mandelbrot set mapping Julia set mapping

No wonder you are binomial

el primero es distribución binomial no

The #binomial distribution was first studied in the context of games of pure chance, and it's now widely used to analyze data in many fields. It models the number of successes when performing n trials of an experiment with a probability of success p. #MathType #math #mathfacts

The binomial looks great in Spanish 😁