# Posteriors in Limited Time

^{1}

^{2}

## Abstract

**:**

## 1. Introduction

## 2. Literature Review

## 3. Model

**Assumption**

**1.**

**Assumption**

**2.**

## 4. Factorizability

**Proposition**

**1.**

- (i)
- ${X}_{a}{\perp}_{\pi}{X}_{f}|\left\{{X}_{i}\right\}{}_{i\in {D}_{a}}$, for all $\left\{{X}_{f}\right\}{}_{f\in U\backslash {D}_{a}}$,
- (ii)
- ${X}_{b}{\perp}_{\pi}{X}_{g}|\left\{{X}_{j}\right\}{}_{j\in {D}_{b}}$, for all $\left\{{X}_{g}\right\}{}_{g\in U\backslash {D}_{b}}$.

**Proof.**

**Definition**

**1.**

**Theorem**

**1.**

**Proof.**

## 5. Recasting the Agreement Theorem

**Corollary**

**1**(Theorem 1).

**Proof.**

**Proposition**

**2.**

**Proof.**

## 6. Conclusions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Conflicts of Interest

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Bhattacharya, A.
Posteriors in Limited Time. *AppliedMath* **2022**, *2*, 700-710.
https://doi.org/10.3390/appliedmath2040041

**AMA Style**

Bhattacharya A.
Posteriors in Limited Time. *AppliedMath*. 2022; 2(4):700-710.
https://doi.org/10.3390/appliedmath2040041

**Chicago/Turabian Style**

Bhattacharya, Ayan.
2022. "Posteriors in Limited Time" *AppliedMath* 2, no. 4: 700-710.
https://doi.org/10.3390/appliedmath2040041