literally copy the example and paste it into your configuration in the sensor section. Change the source entity_id, then change type: time to type: count.
Okay, I made these sensors:
- platform: history_stats
name: "Brennerstatistik Tag"
entity_id: binary_sensor.heizungsbrenner
state: "on"
type: count
start: "{{ now().replace(hour=0, minute=0) }}"
end: "{{ now().replace(hour=23, minute=59) }}"
- platform: history_stats
name: "Brenndauerstatistik Tag"
entity_id: binary_sensor.heizungsbrenner
state: "on"
type: time
start: "{{ now().replace(hour=0, minute=0) }}"
end: "{{ now().replace(hour=23, minute=59) }}"
And get these results:
“Brennerstatistik Tag” is a sensor that I allready had to count the switches from “off” to “on”
It also has the timevalue. Why can’t I use this?
The Timevalue is to high anyway.
Today it must be something about 195 minutes
…and how can I show the time in minutes?
You’re end is wrong. You can’t get information in the future and that will screw up your time. It should be exactly like the example, where end is just "{{ now() }}". You can also use "{{ today_at('00:00') }}" for the start to get exactly midnight.
to get your result in minutes, multiply the result by 60 in a template sensor.
how must I do this
create a template sensor, this is a close example of what you need to do
Oh no!
Templates are the worst thint to me. 
all you need to do is copy/paste that example and change the entity_id and the number after the * to 60.
where do I have to put this template?
All examples in the documentation are assumed to go into configuration.yaml unless otherwise specified.
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Okay, I’ll try
Is it somehow possible to access the value attribute of a history_stats sensor?
Yes, also through templates
or if you don’t want to deal with templates, use a special entity row in an entities card
I get this error in my logs:
Logger: homeassistant.helpers.template
Source: helpers/template.py:1291
First occurred: 19:48:39 (2 occurrences)
Last logged: 19:48:39
Template warning: 'float' got invalid input 'unknown' when rendering template '{{ states('sensor.brenndauer_tag')|float * 60 }}' but no default was specified. Currently 'float' will return '0', however this template will fail to render in Home Assistant core 2022.1
yep, that’s covered here
I don’t understand anything
Okay, I wrote '{{ states('sensor.brenndauer_tag')|float(0) * 60 }}'
Now the error is gone
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how do I have to write a template to show the measured time in hours and minutes?
…and I tried to round the calculated minutes
state: "{{ states('sensor.brenndauer_tag')|float(0) * 60|round(1, 'floor', 0) }}"
but…
Use this method to get value from the history sensor because you’re just putting it into a entities card. No point in dealing with a template when it’s already calculated for you as an attribute.