AgentPMT - The Agentic Economy

Quantum Distribution Generator

Function
$0.10/requestMin Purchase: 10Min Purchase Price: $1

Details

Statistical distribution sampling and stochastic simulation powered by quantum or pseudo-random sources. Generate samples from common probability distributions including exponential, Poisson, binomial, beta, and gamma, with support for Monte Carlo sampling and multi-dimensional random walks. Configurable parameters for distribution shapes, sample counts, and dimensionality enable flexible statistical modeling and simulation workflows.

Use Cases

Monte Carlo simulations for risk analysis and option pricing, queuing theory modeling with Poisson and exponential distributions, A/B testing and conversion rate analysis using binomial and beta distributions, stochastic process simulation, particle diffusion and Brownian motion modeling, Bayesian inference and prior distribution sampling, financial market random walk simulations, statistical hypothesis testing, reliability engineering and failure time analysis.

Parameters

(required properties listed first)

operation*required
Type:string
Description:Use 'get_instructions' to retrieve documentation. Distribution operation: exponential, poisson, binomial, beta, gamma, montecarlo_sample, randomwalk
Allowed values:
get_instructionsexponentialpoissonbinomialbetagammamontecarlo_samplerandomwalk
source
Type:string
Description:Random source: quantum or standard
Default:quantum
Allowed values:
quantumstandard
count
Type:integer
Description:Number of values to generate (1-10000)
Default:1
Minimum:1
Maximum:10000
rate
Type:number
Description:Rate parameter for exponential distribution
Default:1
lambda_param
Type:number
Description:Lambda parameter for Poisson distribution
Default:1
n_trials
Type:integer
Description:Number of trials for binomial distribution
Default:10
Minimum:1
Maximum:10000
p_success
Type:number
Description:Probability of success for binomial distribution
Default:0.5
Minimum:0
Maximum:1
alpha
Type:number
Description:Alpha parameter for beta distribution
Default:1
beta
Type:number
Description:Beta parameter for beta distribution
Default:1
shape
Type:number
Description:Shape parameter for gamma distribution
Default:1
scale
Type:number
Description:Scale parameter for gamma distribution
Default:1
samples
Type:integer
Description:Number of samples for Monte Carlo
Default:1000
Minimum:1
Maximum:1000000
dimensions
Type:integer
Description:Number of dimensions for Monte Carlo/random walk
Default:1
Minimum:1
Maximum:100
distribution
Type:string
Description:Distribution type for Monte Carlo: uniform or normal
Default:uniform
Allowed values:
uniformnormal
steps
Type:integer
Description:Number of steps for random walk
Default:100
Minimum:1
Maximum:10000
step_size
Type:number
Description:Step size for random walk
Default:1

API Example

curl -X POST "https://api.agentpmt.com/products/purchase" \
  -H "Content-Type: application/json" \
  -H "X-API-Key: your-api-key-here" \
  -H "X-Budget-Key: your-budget-key-here" \
  -d '{
    "product_id": "68b648923c0101597b3cd884",
    "parameters": {
      "operation": "get_instructions",
      "source": "quantum",
      "count": 1,
      "rate": 1,
      "lambda_param": 1,
      "n_trials": 10,
      "p_success": 0.5,
      "alpha": 1,
      "beta": 1,
      "shape": 1,
      "scale": 1,
      "samples": 1000,
      "dimensions": 1,
      "distribution": "uniform",
      "steps": 100,
      "step_size": 1
    }
  }'

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About The Developer

Apoth3osis logo

Apoth3osis

13 stars

Joined Agent Payment: August 14, 2025

We build tools that enable AI agents to excel in the mathematical realm.

Our small team develops experimental and unique solutions in the AI arena, with a strong focus on modular computing for agentic applications and custom model deployment. We have handled projects for a variety of applications across many sectors, from algorithmic trading and financial analysis, to molecular simulations and predictions, to habitat and biodiversity monitoring and wildlife conservation.