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| 1 | +#include <cmath> |
| 2 | +#include <vector> |
| 3 | +#include <algorithm> |
| 4 | +#include <unordered_map> |
| 5 | +using namespace std; |
| 6 | + |
| 7 | +namespace mlb { |
| 8 | + |
| 9 | + float arrayMean(float arr[], int len) { |
| 10 | + float sum = 0.0; |
| 11 | + for (int i = 0; i < len; i++) { |
| 12 | + sum += arr[i]; |
| 13 | + } |
| 14 | + return sum / len; |
| 15 | + } |
| 16 | + |
| 17 | + float arrayMedian(float arr[], int len) { |
| 18 | + vector<float> sortedArr(arr, arr + len); |
| 19 | + sort(sortedArr.begin(), sortedArr.end()); |
| 20 | + |
| 21 | + if (len % 2 == 0) { |
| 22 | + float middle1 = sortedArr[len / 2 - 1]; |
| 23 | + float middle2 = sortedArr[len / 2]; |
| 24 | + return (middle1 + middle2) / 2.0; |
| 25 | + } |
| 26 | + else { |
| 27 | + return sortedArr[len / 2]; |
| 28 | + } |
| 29 | + } |
| 30 | + |
| 31 | + float arrayMode(float arr[], int len) { |
| 32 | + unordered_map<float, int> countMap; |
| 33 | + int maxCount = 0; |
| 34 | + float mode = 0.0; |
| 35 | + |
| 36 | + for (int i = 0; i < len; i++) { |
| 37 | + countMap[arr[i]]++; |
| 38 | + if (countMap[arr[i]] > maxCount) { |
| 39 | + maxCount = countMap[arr[i]]; |
| 40 | + mode = arr[i]; |
| 41 | + } |
| 42 | + } |
| 43 | + |
| 44 | + return mode; |
| 45 | + } |
| 46 | + |
| 47 | + float normalPDF(float x, float mean, float stddev) { |
| 48 | + float exponent = -(pow(x - mean, 2) / (2 * pow(stddev, 2))); |
| 49 | + return (1 / (stddev * sqrt(2 * M_PI))) * exp(exponent); |
| 50 | + } |
| 51 | + |
| 52 | + float exponentialPDF(float x, float lambda) { |
| 53 | + if (x >= 0) { |
| 54 | + return lambda * exp(-lambda * x); |
| 55 | + } |
| 56 | + else { |
| 57 | + return 0.0; |
| 58 | + } |
| 59 | + } |
| 60 | + |
| 61 | + float binomialPMF(int k, int n, float p) { |
| 62 | + if (k >= 0 && k <= n) { |
| 63 | + float binomialCoefficient = tgamma(n + 1) / (tgamma(k + 1) * tgamma(n - k + 1)); |
| 64 | + return binomialCoefficient * pow(p, k) * pow(1 - p, n - k); |
| 65 | + } |
| 66 | + else { |
| 67 | + return 0.0; |
| 68 | + } |
| 69 | + } |
| 70 | +} |
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