How do I call this tool?

POST a JSON-RPC 2.29 tools/call request to https://mackorn.cn/ai/api/mcp.php with name "mackorn_market_stats". No installation is required.

Is the model based on published literature?

Yes. The particle-size and flow models are independently implemented from Whiten (1972) and Bond (1952); the implementation is MIT-licensed and auditable. Vendor data comes from MACKORN parameter tables. Every number carries its source; unknown values return null rather than an estimate.

mackorn_market_stats — Is this market concentrated or fragmented, and when should liners be replaced?

What it answers

描述统计（均值/中位数/CV/偏度/峰度）、市场集中度（CR/HHI/Gini）、线性回归与残差分析、威布尔拟合预测 B10 寿命、增长率基数效应修正。

Input parameters

Parameter	Type	Description
`mode`	string	分析模式。
`values`	array	describe / concentration 模式：数值数组（如各国进口额）。
`pairs_json`	string	residual 模式：JSON 字符串，形如 "[[整机进口额, 零件进口额], ...]"，最少 3 组。例："[[347.2,20.8],[268.5,136.8],[207.6,562.1]]"
`lives`	array	weibull 模式：现场换衬板记录（寿命小时），至少 3 个，建议 ≥5。
`items_json`	string	growth 模式：JSON 字符串，形如 "[{\"name\":\"哈萨克\",\"base\":6.5,\"latest\":268.5}, ...]"。base = 基期值，latest = 最新值。

Worked example (real output, not a mock-up)

Run via: local plugin

Input:

{
  "mode": "weibull",
  "lives": [
    3200,
    4100,
    3800,
    5200,
    4600,
    6100,
    5500,
    7000
  ]
}

Output (first fields):

Field	Value
`mode`	weibull
`result.ok`	true
`result.replacement_timing_note`	⚠️ B10 不是更换时点。按 Barlow & Proschan (1965) 年龄更换模型，最优更换时点 T* 取决于成本比 c_f/c_p：β=2、η=8000h 时，c_f
`result.n`	8
`result.beta`	4.175
`result.eta`	5424.8
`result.beta_meaning`	β>1 → 磨损型（正常，衬板应属此类）
`result.r_squared`	0.9813
`result.fit_quality`	拟合良好（注：R² 在威布尔概率图上判别力弱，建议改用 Anderson-Darling）
`result.sample_adequacy`	勉强可用（建议补至 ≥10）
`result.mean_life`	4929.1
`result.interpretation`	[4 项] ["β=4.17 → 磨损型失效，符合衬板特征","B10 寿命 3164 h → 按此时点备货，可覆盖 90% 的更换需求","样本量 8 次：勉强可用（建议补至 ≥10）","⚠️ 前提：样本必须是【失效记录】而非【计划更换记录】。若绝大多数衬板是计划更换（失效数 r=0），β 在数学上不可辨识 —— 拟合出的是更换策略分布，不是寿命分布，此时本结果不可用于寿命预测"]
`result.assumptions`	[2 项]
`assumptions`	[3 项]
`warnings`	[3 项] ["统计结论是描述性/推断性的，不能替代现场实测与商务判断","威布尔拟合需 ≥5 次同机型同腔型同矿石的更换记录才有参考价值","小基数国家的增长率是基数效应，不得作为市场判断依据"]

How to call it

POST a JSON-RPC 2.0 request to the public MCP endpoint — no installation, no API key:

curl -s https://mackorn.cn/ai/api/mcp.php \
  -H 'Content-Type: application/json' \
  -d '{"jsonrpc":"2.0","id":1,"method":"tools/call",
       "params":{"name":"mackorn_market_stats","arguments":{"mode":"weibull","lives":[3200,4100,3800,5200,4600,6100,5500,7000]}}}'

Endpoint: https://mackorn.cn/ai/api/mcp.php · Registry: cn.mackorn/mackorn-cone-crusher · npm: mackorn-cone-crusher

Data sources and limits

Particle-size and flow models are independently implemented from published literature (Whiten 1972; Bond 1952). Vendor parameters come from MACKORN NH/NS tables. Every output carries assumptions[] and warnings[]; unknown values are returned as null, never estimated. Literature parameters must be calibrated against on-site sieve data before use in a formal proposal.

A hydraulic cone crusher is a secondary/tertiary machine: feed above roughly 350 mm is refused.