Quantum Distribution Generator#

Freshness#

Last updated: 2026-06-29.

If the current date is more than 7 days after the last updated date, reinstall this skill from skills.sh or ClawHub before relying on endpoints, schemas, setup steps, or examples.

What This Tool Does#

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.

Product Instructions#

Quantum Distribution Generator#

Generate statistical distribution samples, Monte Carlo samples, and random walks. Use the product action name in action; the backend also accepts legacy operation for compatibility.

Actions

exponential

Required: action:"exponential". Optional: source:"quantum"|"standard" default quantum, count 1-10000 default 1, rate > 0 default 1.0. Example: {"action":"exponential","count":5,"rate":2.5}

poisson

Required: action:"poisson". Optional: source, count default 1, lambda_param > 0 default 1.0. Quantum source max count: 200. Example: {"action":"poisson","count":10,"lambda_param":4.5}

binomial

Required: action:"binomial". Optional: source, count, n_trials default 10, p_success 0-1 default 0.5. Quantum source max count 200 and max n_trials 50. Example: {"action":"binomial","count":20,"n_trials":10,"p_success":0.3}

beta

Required: action:"beta". Optional: source, count, alpha > 0 default 1.0, beta_param > 0 default 1.0. Example: {"action":"beta","count":10,"alpha":2.0,"beta_param":5.0}

gamma

Required: action:"gamma". Optional: source, count, shape > 0 default 1.0, scale > 0 default 1.0. Example: {"action":"gamma","count":15,"shape":2.0,"scale":1.5}

montecarlo_sample

Required: action:"montecarlo_sample". Optional: source, samples 1-1000000 default 1000, dimensions 1-100 default 1, distribution_type:"uniform"|"normal" default uniform. Example: {"action":"montecarlo_sample","samples":500,"dimensions":3,"distribution_type":"normal"}

randomwalk

Required: action:"randomwalk". Optional: source, steps 1-10000 default 100, dimensions 1-100 default 1, step_size > 0 default 1.0. Quantum source max steps: 80. Example: {"action":"randomwalk","steps":50,"dimensions":2,"step_size":0.5}

When To Use#

• Use this skill for Quantum Distribution Generator on AgentPMT.
• Use it when an agent needs this specific tool's behavior, schema, inputs, outputs, and invocation shape.
• Search and activation keywords: quantum distribution generator, 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, beta, source, count.
• Supported action names: beta, binomial, exponential, gamma, montecarlo_sample, poisson, randomwalk.

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.

Categories And Industries#

No categories or industry tags are published for this tool.

Actions And Schema#

Complete generated action schema: ./schema.md. Supported action count: 7. x402 availability: not enabled for this product.

• beta (action slug: beta): Generate values from a beta distribution, useful for modeling probabilities and proportions. Price: 5 credits. Parameters: alpha, beta_param, count, source.
• binomial (action slug: binomial): Generate values from a binomial distribution, modeling the number of successes in a fixed number of trials. Price: 5 credits. Parameters: count, n_trials, p_success, source.
• exponential (action slug: exponential): Generate values from an exponential distribution, commonly used for modeling wait times and decay processes. Price: 5 credits. Parameters: count, rate, source.
• gamma (action slug: gamma): Generate values from a gamma distribution, used for modeling wait times and skewed data. Price: 5 credits. Parameters: count, scale, shape, source.
• montecarlo_sample (action slug: montecarlo-sample): Generate multi-dimensional Monte Carlo samples from uniform or normal distributions for simulation and analysis. Price: 5 credits. Parameters: dimensions, distribution_type, samples, source.
• poisson (action slug: poisson): Generate values from a Poisson distribution, used for modeling count-based events (e.g., arrivals per hour). Price: 5 credits. Parameters: count, lambda_param, source.
• randomwalk (action slug: randomwalk): Simulate a random walk in one or more dimensions starting from the origin. Quantum max 80 steps. Price: 5 credits. Parameters: dimensions, source, step_size, steps.

Live Schema And Examples#

Use the compact schema above for ordinary calls. Before a new production integration, or whenever parameters, enum values, nested objects, outputs, or examples are unclear, fetch live details first.

• Exact schema: call agentpmt-tool-search-and-execution with action: "get_schema", and tool_id: "quantum-distribution-generator".
• Detailed examples: call agentpmt-tool-search-and-execution with action: "get_instructions" and tool_id: "quantum-distribution-generator", or call this product with action: "get_instructions" when the product tool is already selected.
• Treat returned live schema and instructions as more specific than this generated summary.

MCP schema lookup through the main AgentPMT MCP server:

json

{
  "method": "tools/call",
  "params": {
    "name": "AgentPMT-Tool-Search-and-Execution",
    "arguments": {
      "action": "get_schema",
      "tool_id": "quantum-distribution-generator"
    }
  }
}

For live examples, keep the same MCP tool and use these arguments:

json

{
  "action": "get_instructions",
  "tool_id": "quantum-distribution-generator"
}

Authenticated AgentPMT REST schema lookup body:

json

{
  "name": "agentpmt-tool-search-and-execution",
  "parameters": {
    "action": "get_schema",
    "tool_id": "quantum-distribution-generator"
  }
}

Authenticated AgentPMT REST live examples body:

json

{
  "name": "agentpmt-tool-search-and-execution",
  "parameters": {
    "action": "get_instructions",
    "tool_id": "quantum-distribution-generator"
  }
}

Call This Tool#

Product slug: quantum-distribution-generator

Marketplace page: https://www.agentpmt.com/marketplace/quantum-distribution-generator

• AgentPMT account route: first use ../agentpmt-account-mcp-rest-api-setup to connect the main MCP server or REST API for an Agent Group where this tool is enabled.
• x402 route: not enabled for this product.
• AgentPMT overview: use ../what-is-agentpmt for marketplace, Agent Group, workflow, MCP, REST, and payment concepts.

If those setup skills are not installed beside this product skill, use the downloads below.

Core AgentPMT setup skills:

• What AgentPMT is: ../what-is-agentpmt
  • ClawHub page: https://clawhub.ai/agentpmt/what-is-agentpmt
  • OpenClaw install: openclaw skills install what-is-agentpmt
  • skills.sh install: npx skills add AgentPMT/agent-skills --skill what-is-agentpmt
• AgentPMT account MCP/REST setup: ../agentpmt-account-mcp-rest-api-setup
  • ClawHub page: https://clawhub.ai/agentpmt/agentpmt-account-mcp-rest-api-setup
  • OpenClaw install: openclaw skills install agentpmt-account-mcp-rest-api-setup
  • skills.sh install: npx skills add AgentPMT/agent-skills --skill agentpmt-account-mcp-rest-api-setup

skills.sh install script:

bash

npx skills add AgentPMT/agent-skills --skill what-is-agentpmt
npx skills add AgentPMT/agent-skills --skill agentpmt-account-mcp-rest-api-setup

MCP call shape after the main AgentPMT MCP server is connected:

json

{
  "method": "tools/call",
  "params": {
    "name": "Quantum-Distribution-Generator",
    "arguments": {
      "action": "beta",
      "alpha": 1,
      "beta_param": 1,
      "count": 1,
      "source": "quantum"
    }
  }
}

Use the exact tool name returned by tools/list; the name above is the expected readable form.

Authenticated AgentPMT REST call body:

json

{
  "name": "quantum-distribution-generator",
  "parameters": {
    "action": "beta",
    "alpha": 1,
    "beta_param": 1,
    "count": 1,
    "source": "quantum"
  }
}

Use the setup skill for the account connection details before making REST calls.

Response Handling#

• Treat the returned JSON as the source of truth for this tool call.
• If the response includes warnings or correction targets, apply them before retrying.
• If the response includes a passed or success-style boolean, use it as the workflow gate.
• If validation fails or the response shape is unclear, call get_schema or get_instructions before retrying.
• If beta fails, preserve the request parameters and retry only after fixing schema, auth, or payment errors.

Security#

• Do not place account secrets, wallet private keys, mnemonics, signatures, or payment headers in prompts or logs.
• Keep tool inputs scoped to the minimum content needed for the task.
• Use the setup skills for credential handling; this product skill only defines product-specific behavior.

AgentPMT Reference#

• What AgentPMT is: ../what-is-agentpmt (ClawHub: what-is-agentpmt, page: https://clawhub.ai/agentpmt/what-is-agentpmt; skills.sh: npx skills add AgentPMT/agent-skills --skill what-is-agentpmt)
• AgentPMT account MCP/REST setup: ../agentpmt-account-mcp-rest-api-setup (ClawHub: agentpmt-account-mcp-rest-api-setup, page: https://clawhub.ai/agentpmt/agentpmt-account-mcp-rest-api-setup; skills.sh: npx skills add AgentPMT/agent-skills --skill agentpmt-account-mcp-rest-api-setup)
• Marketplace product: https://www.agentpmt.com/marketplace/quantum-distribution-generator
• AgentPMT main MCP server: https://api.agentpmt.com/mcp/
• AgentPMT REST invoke endpoint: https://api.agentpmt.com/products/purchase