Roshankumar chandaliya

Paper 8 - Fresh-Later Complete-Nonselection Tests: Exact Causal Benchmarks, Identifiability, Selection Robustness, and Decisive Testing

Overview This work presents a practical framework for testing whether an already recorded earlier binary outcome can show a genuine dependence on a newly generated later intervention. The main aim is to separate a potentially meaningful fresh-later effect from ordinary explanatio...

Exact Distribution Laws and Complete Horizon Classification for Walsh Interaction-Order Energies via Krawtchouk Collision Exclusion

Paper-2 v2.0 — Exact Distribution Laws and Complete Horizon Classification for Walsh Interaction-Order Energies via Krawtchouk Collision Exclusion Paper-2 develops an exact computational framework for Walsh interaction-order energies on the Boolean cube. It extends the study of p...

Exact and Certified Tail Computation for Walsh Interaction-Order Energies

Paper-3 develops an exact and reproducible method for computing difficult tail probabilities of Walsh interaction-order energies on the Boolean cube. This work is part of a three-paper progression: Paper-1 — Exact Permutation Moments: derives exact finite-sample mean, variance, a...

Exact Finite-Sample Permutation Moments for Walsh Interaction-Order Energies

WHAT THIS PACKAGE DOES This package goes with the revised Paper-1 manuscript "Exact Finite-Sample Permutation Moments for Walsh Interaction-Order Energies: A Projector Specialization of Quadratic-Form Randomization Theory" (v1.1). It contains the full open-source code, exhaustive...

Four Variable Binary Affinity Geometry and Forward Reverse laws: Exact 16 sector Walsh Coordinates, Conditional Transfer Laws, Event Updates, & Prediction Boundaries

Overview:This preprint presents a rigorous four-variable binary affinity framework, mapping 16 joint sign states exactly onto 15 nonconstant Walsh/log-linear coordinates. The work establishes an exact dual representation, derives conditional pair-affinity forward and inverse laws...

Affinity Geometry, Transfer Laws, and π Invariants in Normalized Binary and Symmetric Multidimensional Exponential Families

“This work develops and formally audits a normalized exponential-affinity framework for binary and symmetric multidimensional families. Exact and conditional proofs are provided for the affinity susceptibility/Fisher identity, an independent Fisher–Rao π-length representation, ba...

Affinity Geometry, Transfer Laws, and π Invariants in Normalized Binary and Symmetric Multidimensional Exponential Families

“This work develops and formally audits a normalized exponential-affinity framework for binary and symmetric multidimensional families. Exact and conditional proofs are provided for the affinity susceptibility/Fisher identity, an independent Fisher–Rao π-length representation, ba...