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1. | parent_author | "" |
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parent_permlink | hive-167922 |
---|
author | chasmic-cosm |
---|
permlink | calculating-the-exponential-moving-average-in-python |
---|
title | "Calculating the Exponential Moving Average in Python" |
---|
body | "![exponential moving average.png](https://images.hive.blog/DQmd5JUaaKjBCoPihc5YSC4GKEtBpkC41C35b2X6d7BigJZ/exponential%20moving%20average.png)
# Theory
The exponential moving average differs from the [simple moving average](https://leofinance.io/hive-167922/@chasmic-cosm/calculating-the-simple-moving-average-in-python) in that more recent samples are more strongly weighted. This means that the exponential moving average responds more quickly to changes in the signal.
# Implementation
The `signal` parameter is a one dimensional array. the `smoothing` parameter controls how much influence the more recent samples have on the value of the average.
```python
import numpy as np
def exponential_moving_average(signal, points, smoothing=2):
"""
Calculate the N-point exponential moving average of a signal
Inputs:
signal: numpy array - A sequence of price points in time
points: int - The size of the moving average
smoothing: float - The smoothing factor
Outputs:
ma: numpy array - The moving average at each point in the signal
"""
weight = smoothing / (points + 1)
ema = np.zeros(len(signal))
ema[0] = signal[0]
for i in range(1, len(signal)):
ema[i] = (signal[i] * weight) + (ema[i - 1] * (1 - weight))
return ema
```
# Results
Consider the following diagram showing the exponential average in blue and the simple average in red. Note that the exponential average leads the simple average, reacting to price changes more quickly.
![ema vs sma.png](https://images.hive.blog/DQmV21bxPhCJRDF5tLrk6yWMnJjSU4WgSN8Bdn2rQo6jFmg/ema%20vs%20sma.png)
Posted Using [LeoFinance](https://leofinance.io/@chasmic-cosm/calculating-the-exponential-moving-average-in-python)" |
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json_metadata | {"tags":["investing","trading","finance","maths","programming","leofinance"],"image":["https://images.hive.blog/DQmd5JUaaKjBCoPihc5YSC4GKEtBpkC41C35b2X6d7BigJZ/exponential%20moving%20average.png","https://images.hive.blog/DQmV21bxPhCJRDF5tLrk6yWMnJjSU4WgSN8Bdn2rQo6jFmg/ema%20vs%20sma.png"],"links":["https://leofinance.io/hive-167922/@chasmic-cosm/calculating-the-simple-moving-average-in-python"],"app":"leofinance/0.1","format":"markdown","canonical_url":"https://leofinance.io/@chasmic-cosm/calculating-the-exponential-moving-average-in-python"} |
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block_num | 45,499,973 |
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transaction_num | 19 |
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20. | ref_block_num | 17,965 |
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ref_block_prefix | 554,213,559 |
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expiration | 2020-07-26 19:53:30 |
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operations | 0. | 0. | custom_json |
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1. | required_auths | [] |
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required_posting_auths | |
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id | sm_find_match |
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json | {"match_type":"Ranked","app":"steemmonsters/0.7.34"} |
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extensions | [] |
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transaction_id | 6bc8bef49e89a2c9e2181103cdf1007f2c86c2c6 |
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block_num | 45,499,973 |
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transaction_num | 20 |
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21. | ref_block_num | 17,965 |
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ref_block_prefix | 554,213,559 |
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expiration | 2020-07-26 19:53:30 |
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operations | 0. | 0. | custom_json |
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1. | required_auths | [] |
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required_posting_auths | |
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id | sm_submit_team |
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json | {"trx_id":"e3d9814f0b12766ef9e3081a6b828cb9e1a749c6","team_hash":"cae974cbc1fbb66253d1b6f2aaa11480","summoner":"starter-224-m4yYl","monsters":["starter-162-q9BQG","C1-8-U4Y3RJRRCG","C2-126-0JFPK4ZM68","starter-190-KPMY1","C3-97-F12MNHSE5S","starter-193-ihVY3"],"secret":"6ee6c575a7","app":"steemmonsters/0.7.34"} |
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extensions | [] |
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signatures | 0. | 1f12f5c83bfb6b296f9318ea5873354302ffd188a58a7d355f5b99cd09cb3a9d52737520a24d6b215744d030274a91967e3621018092cfc5547f4b009dbb6540ef |
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transaction_id | 5b0c5a84ca9bfbe93d983d6edf0dc243f67b2ad1 |
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block_num | 45,499,973 |
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transaction_num | 21 |
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22. | ref_block_num | 17,965 |
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ref_block_prefix | 554,213,559 |
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expiration | 2020-07-26 19:53:30 |
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operations | 0. | 0. | transfer |
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1. | from | houstonrockets |
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to | kryptogames |
---|
amount | 28.000 HIVE |
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memo | "Deal Blackjack e77525214817f" |
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extensions | [] |
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signatures | 0. | 1f59cbc7ddf6e70dafa992270d727f28ee60e2e1e549e0342b7b122c2460ff94ae498180b0ababb501a0d78e18308124e2f13ddea81938099691bf7c9c2170005f |
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transaction_id | 39ba1cd70fe1c522184d237490d4d255971b69b0 |
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block_num | 45,499,973 |
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transaction_num | 22 |
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23. | ref_block_num | 17,965 |
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ref_block_prefix | 554,213,559 |
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expiration | 2020-07-26 19:53:33 |
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operations | 0. | 0. | custom_json |
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1. | required_auths | [] |
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required_posting_auths | |
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id | sm_find_match |
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json | {"match_type":"Ranked","app":"steemmonsters/0.7.34"} |
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extensions | [] |
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signatures | 0. | 1f63f8dd840cf4cae9c8b3130b9a257c935d901801742052000e60e1cc12ea2fdb1763f58ef8443e14b09dd76290e9d98fc1662d0a29a1bb497fb4b92915b7b3f9 |
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transaction_id | ba136c0283032e50ee04ed7200a82c91ff09b763 |
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block_num | 45,499,973 |
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transaction_num | 23 |
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24. | ref_block_num | 17,988 |
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ref_block_prefix | 2,627,745,227 |
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expiration | 2020-07-26 19:44:33 |
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operations | 0. | 0. | custom_json |
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1. | required_auths | [] |
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required_posting_auths | |
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id | sm_team_reveal |
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json | {"trx_id":"sm_JjoduNgFR0QbesRf1k6w","summoner":"C4-178-BCJ27OOOXC","monsters":["C4-174-8R9IOGZIIO","C4-173-P8JVPEJY8G","G4-171-XS7A3151VK"],"secret":"2c036cf006"} |
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extensions | [] |
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transaction_id | db232ad30f4b72a0fb3ebd2f0baad0fe3a4e87ca |
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block_num | 45,499,973 |
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transaction_num | 24 |
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25. | ref_block_num | 17,965 |
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ref_block_prefix | 554,213,559 |
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expiration | 2020-07-26 19:53:33 |
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operations | 0. | 0. | custom_json |
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1. | required_auths | [] |
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required_posting_auths | |
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id | sm_submit_team |
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json | {"trx_id":"679ae340d5af43e2eedfd94e83632789dc7707ae","team_hash":"ec98515e76945762aa8ce5eb2477ee4f","app":"steemmonsters/0.7.34"} |
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extensions | [] |
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transaction_id | 756ba596408eaaafe7b988e97546fd3db549a6dc |
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block_num | 45,499,973 |
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transaction_num | 25 |
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26. | ref_block_num | 17,965 |
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ref_block_prefix | 554,213,559 |
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expiration | 2020-07-26 19:53:30 |
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operations | 0. | 0. | custom_json |
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1. | required_auths | [] |
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required_posting_auths | |
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id | sm_submit_team |
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json | {"trx_id":"01fd7bd6280d0bd6094a1c739168553782e1fe64","team_hash":"18d69baaf2d24ea0c7ef7e336849912a","summoner":"starter-5-VbMHU","monsters":["starter-8-Rr2xz","starter-1-giv05","starter-3-dLGiq","starter-63-c7zwc","C-KD7RCWEWCG","starter-4-fndd4"],"secret":"550d81a161","app":"steemmonsters/0.7.34"} |
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extensions | [] |
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signatures | 0. | 200f81fa7361cadae0158db6b0d6f1df4eee4bea009fd88fe59fab34e9f63ae7423fc2d54d73b7f7e6dfff5481f745bf383e4ac57ec110f56b65cc46af6234b82e |
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transaction_id | 4e8f5bdf185597bc1fb9c55ec3145a6af7dfc177 |
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block_num | 45,499,973 |
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transaction_num | 26 |
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27. | ref_block_num | 17,988 |
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ref_block_prefix | 2,627,745,227 |
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expiration | 2020-07-26 19:44:03 |
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operations | 0. | 0. | custom_json |
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1. | required_auths | [] |
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required_posting_auths | |
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id | sm_submit_team |
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json | {"trx_id":"db89691d160d6ed8d450843a2d0780366fc10e5c","team_hash":"d8e0fa638cae916e5745e4210ef3e66f","app":"steemmonsters/0.7.34"} |
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extensions | [] |
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transaction_id | dd7298f4cf0251ffb3bf3944ddc61777529f0dff |
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block_num | 45,499,973 |
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transaction_num | 27 |
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