Stochastic Dominance Test
curl --request POST \
--url https://api.fincept.in/quantlib/economics/utility/stochastic-dominance \
--header 'Content-Type: application/json' \
--header 'X-API-Key: <api-key>' \
--data '
{
"cdf_a": [
[
0,
0
],
[
5,
0.3
],
[
10,
0.7
],
[
15,
1
]
],
"cdf_b": [
[
0,
0
],
[
5,
0.5
],
[
10,
0.9
],
[
15,
1
]
],
"order": 1
}
'import requests
url = "https://api.fincept.in/quantlib/economics/utility/stochastic-dominance"
payload = {
"cdf_a": [[0, 0], [5, 0.3], [10, 0.7], [15, 1]],
"cdf_b": [[0, 0], [5, 0.5], [10, 0.9], [15, 1]],
"order": 1
}
headers = {
"X-API-Key": "<api-key>",
"Content-Type": "application/json"
}
response = requests.post(url, json=payload, headers=headers)
print(response.text)const options = {
method: 'POST',
headers: {'X-API-Key': '<api-key>', 'Content-Type': 'application/json'},
body: JSON.stringify({
cdf_a: [[0, 0], [5, 0.3], [10, 0.7], [15, 1]],
cdf_b: [[0, 0], [5, 0.5], [10, 0.9], [15, 1]],
order: 1
})
};
fetch('https://api.fincept.in/quantlib/economics/utility/stochastic-dominance', options)
.then(res => res.json())
.then(res => console.log(res))
.catch(err => console.error(err));<?php
$curl = curl_init();
curl_setopt_array($curl, [
CURLOPT_URL => "https://api.fincept.in/quantlib/economics/utility/stochastic-dominance",
CURLOPT_RETURNTRANSFER => true,
CURLOPT_ENCODING => "",
CURLOPT_MAXREDIRS => 10,
CURLOPT_TIMEOUT => 30,
CURLOPT_HTTP_VERSION => CURL_HTTP_VERSION_1_1,
CURLOPT_CUSTOMREQUEST => "POST",
CURLOPT_POSTFIELDS => json_encode([
'cdf_a' => [
[
0,
0
],
[
5,
0.3
],
[
10,
0.7
],
[
15,
1
]
],
'cdf_b' => [
[
0,
0
],
[
5,
0.5
],
[
10,
0.9
],
[
15,
1
]
],
'order' => 1
]),
CURLOPT_HTTPHEADER => [
"Content-Type: application/json",
"X-API-Key: <api-key>"
],
]);
$response = curl_exec($curl);
$err = curl_error($curl);
curl_close($curl);
if ($err) {
echo "cURL Error #:" . $err;
} else {
echo $response;
}package main
import (
"fmt"
"strings"
"net/http"
"io"
)
func main() {
url := "https://api.fincept.in/quantlib/economics/utility/stochastic-dominance"
payload := strings.NewReader("{\n \"cdf_a\": [\n [\n 0,\n 0\n ],\n [\n 5,\n 0.3\n ],\n [\n 10,\n 0.7\n ],\n [\n 15,\n 1\n ]\n ],\n \"cdf_b\": [\n [\n 0,\n 0\n ],\n [\n 5,\n 0.5\n ],\n [\n 10,\n 0.9\n ],\n [\n 15,\n 1\n ]\n ],\n \"order\": 1\n}")
req, _ := http.NewRequest("POST", url, payload)
req.Header.Add("X-API-Key", "<api-key>")
req.Header.Add("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)
defer res.Body.Close()
body, _ := io.ReadAll(res.Body)
fmt.Println(string(body))
}HttpResponse<String> response = Unirest.post("https://api.fincept.in/quantlib/economics/utility/stochastic-dominance")
.header("X-API-Key", "<api-key>")
.header("Content-Type", "application/json")
.body("{\n \"cdf_a\": [\n [\n 0,\n 0\n ],\n [\n 5,\n 0.3\n ],\n [\n 10,\n 0.7\n ],\n [\n 15,\n 1\n ]\n ],\n \"cdf_b\": [\n [\n 0,\n 0\n ],\n [\n 5,\n 0.5\n ],\n [\n 10,\n 0.9\n ],\n [\n 15,\n 1\n ]\n ],\n \"order\": 1\n}")
.asString();require 'uri'
require 'net/http'
url = URI("https://api.fincept.in/quantlib/economics/utility/stochastic-dominance")
http = Net::HTTP.new(url.host, url.port)
http.use_ssl = true
request = Net::HTTP::Post.new(url)
request["X-API-Key"] = '<api-key>'
request["Content-Type"] = 'application/json'
request.body = "{\n \"cdf_a\": [\n [\n 0,\n 0\n ],\n [\n 5,\n 0.3\n ],\n [\n 10,\n 0.7\n ],\n [\n 15,\n 1\n ]\n ],\n \"cdf_b\": [\n [\n 0,\n 0\n ],\n [\n 5,\n 0.5\n ],\n [\n 10,\n 0.9\n ],\n [\n 15,\n 1\n ]\n ],\n \"order\": 1\n}"
response = http.request(request)
puts response.read_body{
"success": true,
"data": {
"first_order_dominance_a_over_b": true
}
}{
"detail": "Invalid API key"
}{
"detail": "Endpoint requires Basic tier or higher"
}{
"detail": [
{
"loc": [
"body",
"cdf_a"
],
"msg": "field required",
"type": "value_error.missing"
}
]
}quantlib-economics
Stochastic Dominance Test
Check if lottery A stochastically dominates lottery B. First-order stochastic dominance (FSD): A dominates B if F_A(x) ≤ F_B(x) for all x (preferred by all monotone utility functions). Second-order stochastic dominance (SSD): ∫F_A(t)dt ≤ ∫F_B(t)dt (preferred by all risk-averse utility functions). Returns boolean indicating dominance. Use for portfolio comparison and welfare ranking without specifying utility functions. [Tier: STANDARD, Credits: 2]
POST
/
quantlib
/
economics
/
utility
/
stochastic-dominance
Stochastic Dominance Test
curl --request POST \
--url https://api.fincept.in/quantlib/economics/utility/stochastic-dominance \
--header 'Content-Type: application/json' \
--header 'X-API-Key: <api-key>' \
--data '
{
"cdf_a": [
[
0,
0
],
[
5,
0.3
],
[
10,
0.7
],
[
15,
1
]
],
"cdf_b": [
[
0,
0
],
[
5,
0.5
],
[
10,
0.9
],
[
15,
1
]
],
"order": 1
}
'import requests
url = "https://api.fincept.in/quantlib/economics/utility/stochastic-dominance"
payload = {
"cdf_a": [[0, 0], [5, 0.3], [10, 0.7], [15, 1]],
"cdf_b": [[0, 0], [5, 0.5], [10, 0.9], [15, 1]],
"order": 1
}
headers = {
"X-API-Key": "<api-key>",
"Content-Type": "application/json"
}
response = requests.post(url, json=payload, headers=headers)
print(response.text)const options = {
method: 'POST',
headers: {'X-API-Key': '<api-key>', 'Content-Type': 'application/json'},
body: JSON.stringify({
cdf_a: [[0, 0], [5, 0.3], [10, 0.7], [15, 1]],
cdf_b: [[0, 0], [5, 0.5], [10, 0.9], [15, 1]],
order: 1
})
};
fetch('https://api.fincept.in/quantlib/economics/utility/stochastic-dominance', options)
.then(res => res.json())
.then(res => console.log(res))
.catch(err => console.error(err));<?php
$curl = curl_init();
curl_setopt_array($curl, [
CURLOPT_URL => "https://api.fincept.in/quantlib/economics/utility/stochastic-dominance",
CURLOPT_RETURNTRANSFER => true,
CURLOPT_ENCODING => "",
CURLOPT_MAXREDIRS => 10,
CURLOPT_TIMEOUT => 30,
CURLOPT_HTTP_VERSION => CURL_HTTP_VERSION_1_1,
CURLOPT_CUSTOMREQUEST => "POST",
CURLOPT_POSTFIELDS => json_encode([
'cdf_a' => [
[
0,
0
],
[
5,
0.3
],
[
10,
0.7
],
[
15,
1
]
],
'cdf_b' => [
[
0,
0
],
[
5,
0.5
],
[
10,
0.9
],
[
15,
1
]
],
'order' => 1
]),
CURLOPT_HTTPHEADER => [
"Content-Type: application/json",
"X-API-Key: <api-key>"
],
]);
$response = curl_exec($curl);
$err = curl_error($curl);
curl_close($curl);
if ($err) {
echo "cURL Error #:" . $err;
} else {
echo $response;
}package main
import (
"fmt"
"strings"
"net/http"
"io"
)
func main() {
url := "https://api.fincept.in/quantlib/economics/utility/stochastic-dominance"
payload := strings.NewReader("{\n \"cdf_a\": [\n [\n 0,\n 0\n ],\n [\n 5,\n 0.3\n ],\n [\n 10,\n 0.7\n ],\n [\n 15,\n 1\n ]\n ],\n \"cdf_b\": [\n [\n 0,\n 0\n ],\n [\n 5,\n 0.5\n ],\n [\n 10,\n 0.9\n ],\n [\n 15,\n 1\n ]\n ],\n \"order\": 1\n}")
req, _ := http.NewRequest("POST", url, payload)
req.Header.Add("X-API-Key", "<api-key>")
req.Header.Add("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)
defer res.Body.Close()
body, _ := io.ReadAll(res.Body)
fmt.Println(string(body))
}HttpResponse<String> response = Unirest.post("https://api.fincept.in/quantlib/economics/utility/stochastic-dominance")
.header("X-API-Key", "<api-key>")
.header("Content-Type", "application/json")
.body("{\n \"cdf_a\": [\n [\n 0,\n 0\n ],\n [\n 5,\n 0.3\n ],\n [\n 10,\n 0.7\n ],\n [\n 15,\n 1\n ]\n ],\n \"cdf_b\": [\n [\n 0,\n 0\n ],\n [\n 5,\n 0.5\n ],\n [\n 10,\n 0.9\n ],\n [\n 15,\n 1\n ]\n ],\n \"order\": 1\n}")
.asString();require 'uri'
require 'net/http'
url = URI("https://api.fincept.in/quantlib/economics/utility/stochastic-dominance")
http = Net::HTTP.new(url.host, url.port)
http.use_ssl = true
request = Net::HTTP::Post.new(url)
request["X-API-Key"] = '<api-key>'
request["Content-Type"] = 'application/json'
request.body = "{\n \"cdf_a\": [\n [\n 0,\n 0\n ],\n [\n 5,\n 0.3\n ],\n [\n 10,\n 0.7\n ],\n [\n 15,\n 1\n ]\n ],\n \"cdf_b\": [\n [\n 0,\n 0\n ],\n [\n 5,\n 0.5\n ],\n [\n 10,\n 0.9\n ],\n [\n 15,\n 1\n ]\n ],\n \"order\": 1\n}"
response = http.request(request)
puts response.read_body{
"success": true,
"data": {
"first_order_dominance_a_over_b": true
}
}{
"detail": "Invalid API key"
}{
"detail": "Endpoint requires Basic tier or higher"
}{
"detail": [
{
"loc": [
"body",
"cdf_a"
],
"msg": "field required",
"type": "value_error.missing"
}
]
}Authorizations
API key for authentication. Get your key at https://api.fincept.in/auth/register
Body
application/json
CDF of lottery A as [[x1, F_A(x1)], [x2, F_A(x2)], ...]
Minimum array length:
2Required array length:
2 elementsExample:
[[0, 0], [5, 0.3], [10, 0.7], [15, 1]]
CDF of lottery B as [[x1, F_B(x1)], [x2, F_B(x2)], ...]
Minimum array length:
2Required array length:
2 elementsExample:
[[0, 0], [5, 0.5], [10, 0.9], [15, 1]]
Order of dominance (1 for FSD, 2 for SSD)
Available options:
1, 2 Example:
1
⌘I
