📊 威布尔分布（均值示意）Weibull Distribution (mean demo)
均值 ≈ λ Γ(1+1/k)（Γ 用数值近似）。本地处理。可设置「形状 k」、「尺度 λ」。Mean ≈ λ Γ(1+1/k) (Γ numerically approximated). Processed locally. Settings: Shape k, Scale λ.
使用说明与常见问题How-to & FAQ
「威布尔分布（均值示意）」是什么？What is the Weibull Distribution (mean demo) tool?
均值 ≈ λ Γ(1+1/k)（Γ 用数值近似）。本地处理。可设置「形状 k」、「尺度 λ」。Mean ≈ λ Γ(1+1/k) (Γ numerically approximated). Processed locally. Settings: Shape k, Scale λ.
如何使用「威布尔分布（均值示意）」？How do I use the Weibull Distribution (mean demo) tool?
在「威布尔分布（均值示意）」中，填写「形状 k」、「尺度 λ」等参数，结果会随输入实时计算并显示在下方。In the Weibull Distribution (mean demo): Fill in "Shape k", "Scale λ"; results are recalculated instantly as you type.
能算可靠度吗？Does it give the reliability?
不能，本页只给出均值 λ·Γ(1 + 1/k)（Γ 用数值近似）。可靠度（到时间 t 仍正常的概率）是 R(t) = e^(−(t/λ)^k)，可以用这个公式自己计算。No, only the mean λ·Γ(1 + 1/k), with Γ approximated numerically. Reliability, the chance of still working at time t, is R(t) = e^(−(t/λ)^k), which you can compute from the same k and λ.
能举个计算实例吗？Can you show a worked example?
例如在「威布尔分布（均值示意）」中填 形状 k = 1，尺度 λ = 100，结果区显示：均值示意：100For example, entering Shape k = 1, Scale λ = 100 in the Weibull Distribution (mean demo) gives: Mean demo: 100
哪些输入会被检查？Which inputs are validated?
「威布尔分布（均值示意）」会检查这些输入——「形状 k」、「尺度 λ」：必须填写，须大于 0；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The Weibull Distribution (mean demo) checks its inputs — "Shape k", "Scale λ": required, must be greater than 0; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.
有哪些选项可以调整？What options can I adjust?
「威布尔分布（均值示意）」的设置：「形状 k」默认 1.5；「尺度 λ」默认 100。每次生成结果都按当前设置处理。Settings in the Weibull Distribution (mean demo) — "Shape k" default 1.5; "Scale λ" default 100. The result always uses the current settings.
计算精度如何？How precise are the results?
「威布尔分布（均值示意）」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The Weibull Distribution (mean demo) uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「威布尔分布（均值示意）」免费吗？需要注册吗？Is the Weibull Distribution (mean demo) free? Do I need an account?
「威布尔分布（均值示意）」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Weibull Distribution (mean demo) is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.